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Finding the Third Proportional to 169,493.13 and 256,426.63

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Solution

The third proportional to 169,493.13 and 256,426.63 is: 387,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,493.13 : 256,426.63 = 256,426.63 : x
  2. Step 2: Convert to fraction form
    169,493.13/256,426.63 = 256,426.63/x
  3. Step 3: Cross multiply
    169,493.13x = 256,426.63 × 256,426.63
  4. Step 4: Simplify right side
    169,493.13x = 65,754,614,008.89
  5. Step 5: Solve for x
    x = 65,754,614,008.89/169,493.13
  6. Step 6: Final answer
    x = 387,948.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.