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Finding the Third Proportional to 207,412.50 and 329,801.25

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Solution

The third proportional to 207,412.50 and 329,801.25 is: 524,408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,412.50 : 329,801.25 = 329,801.25 : x
  2. Step 2: Convert to fraction form
    207,412.50/329,801.25 = 329,801.25/x
  3. Step 3: Cross multiply
    207,412.50x = 329,801.25 × 329,801.25
  4. Step 4: Simplify right side
    207,412.50x = 108,768,864,501.56
  5. Step 5: Solve for x
    x = 108,768,864,501.56/207,412.50
  6. Step 6: Final answer
    x = 524,408.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.