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Finding the Third Proportional to 202,374 and 439,738.50

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Solution

The third proportional to 202,374 and 439,738.50 is: 955,507.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,374 : 439,738.50 = 439,738.50 : x
  2. Step 2: Convert to fraction form
    202,374/439,738.50 = 439,738.50/x
  3. Step 3: Cross multiply
    202,374x = 439,738.50 × 439,738.50
  4. Step 4: Simplify right side
    202,374x = 193,369,948,382.25
  5. Step 5: Solve for x
    x = 193,369,948,382.25/202,374
  6. Step 6: Final answer
    x = 955,507.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.