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Finding the Third Proportional to 107,474.34 and 232,459.88

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Solution

The third proportional to 107,474.34 and 232,459.88 is: 502,795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,474.34 : 232,459.88 = 232,459.88 : x
  2. Step 2: Convert to fraction form
    107,474.34/232,459.88 = 232,459.88/x
  3. Step 3: Cross multiply
    107,474.34x = 232,459.88 × 232,459.88
  4. Step 4: Simplify right side
    107,474.34x = 54,037,593,485.02
  5. Step 5: Solve for x
    x = 54,037,593,485.02/107,474.34
  6. Step 6: Final answer
    x = 502,795.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.