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Finding the Third Proportional to 173,853 and 402,472.13

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Solution

The third proportional to 173,853 and 402,472.13 is: 931,728.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,853 : 402,472.13 = 402,472.13 : x
  2. Step 2: Convert to fraction form
    173,853/402,472.13 = 402,472.13/x
  3. Step 3: Cross multiply
    173,853x = 402,472.13 × 402,472.13
  4. Step 4: Simplify right side
    173,853x = 161,983,811,402.02
  5. Step 5: Solve for x
    x = 161,983,811,402.02/173,853
  6. Step 6: Final answer
    x = 931,728.59

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.