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Finding the Third Proportional to 202,374 and 292,372

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Solution

The third proportional to 202,374 and 292,372 is: 422,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,374 : 292,372 = 292,372 : x
  2. Step 2: Convert to fraction form
    202,374/292,372 = 292,372/x
  3. Step 3: Cross multiply
    202,374x = 292,372 × 292,372
  4. Step 4: Simplify right side
    202,374x = 85,481,386,384
  5. Step 5: Solve for x
    x = 85,481,386,384/202,374
  6. Step 6: Final answer
    x = 422,393.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.