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Finding the Third Proportional to 207,643.50 and 296,929.13

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Solution

The third proportional to 207,643.50 and 296,929.13 is: 424,607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,643.50 : 296,929.13 = 296,929.13 : x
  2. Step 2: Convert to fraction form
    207,643.50/296,929.13 = 296,929.13/x
  3. Step 3: Cross multiply
    207,643.50x = 296,929.13 × 296,929.13
  4. Step 4: Simplify right side
    207,643.50x = 88,166,905,273.27
  5. Step 5: Solve for x
    x = 88,166,905,273.27/207,643.50
  6. Step 6: Final answer
    x = 424,607.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.