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Finding the Third Proportional to 203,553 and 292,177.13

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Solution

The third proportional to 203,553 and 292,177.13 is: 419,386.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,553 : 292,177.13 = 292,177.13 : x
  2. Step 2: Convert to fraction form
    203,553/292,177.13 = 292,177.13/x
  3. Step 3: Cross multiply
    203,553x = 292,177.13 × 292,177.13
  4. Step 4: Simplify right side
    203,553x = 85,367,472,373.27
  5. Step 5: Solve for x
    x = 85,367,472,373.27/203,553
  6. Step 6: Final answer
    x = 419,386.95

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