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Finding the Third Proportional to 207,395 and 329,772.50

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Solution

The third proportional to 207,395 and 329,772.50 is: 524,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,395 : 329,772.50 = 329,772.50 : x
  2. Step 2: Convert to fraction form
    207,395/329,772.50 = 329,772.50/x
  3. Step 3: Cross multiply
    207,395x = 329,772.50 × 329,772.50
  4. Step 4: Simplify right side
    207,395x = 108,749,901,756.25
  5. Step 5: Solve for x
    x = 108,749,901,756.25/207,395
  6. Step 6: Final answer
    x = 524,361.25

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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.