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Finding the Third Proportional to 153,415.50 and 328,154.25

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Solution

The third proportional to 153,415.50 and 328,154.25 is: 701,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,415.50 : 328,154.25 = 328,154.25 : x
  2. Step 2: Convert to fraction form
    153,415.50/328,154.25 = 328,154.25/x
  3. Step 3: Cross multiply
    153,415.50x = 328,154.25 × 328,154.25
  4. Step 4: Simplify right side
    153,415.50x = 107,685,211,793.06
  5. Step 5: Solve for x
    x = 107,685,211,793.06/153,415.50
  6. Step 6: Final answer
    x = 701,918.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.