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Finding the Third Proportional to 211,897.75 and 500,110.50

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Solution

The third proportional to 211,897.75 and 500,110.50 is: 1,180,335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,897.75 : 500,110.50 = 500,110.50 : x
  2. Step 2: Convert to fraction form
    211,897.75/500,110.50 = 500,110.50/x
  3. Step 3: Cross multiply
    211,897.75x = 500,110.50 × 500,110.50
  4. Step 4: Simplify right side
    211,897.75x = 250,110,512,210.25
  5. Step 5: Solve for x
    x = 250,110,512,210.25/211,897.75
  6. Step 6: Final answer
    x = 1,180,335.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.