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Finding the Third Proportional to 211,785.50 and 465,043

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Solution

The third proportional to 211,785.50 and 465,043 is: 1,021,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,785.50 : 465,043 = 465,043 : x
  2. Step 2: Convert to fraction form
    211,785.50/465,043 = 465,043/x
  3. Step 3: Cross multiply
    211,785.50x = 465,043 × 465,043
  4. Step 4: Simplify right side
    211,785.50x = 216,264,991,849
  5. Step 5: Solve for x
    x = 216,264,991,849/211,785.50
  6. Step 6: Final answer
    x = 1,021,151.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.