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Finding the Third Proportional to 107,295 and 232,509

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Solution

The third proportional to 107,295 and 232,509 is: 503,848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,295 : 232,509 = 232,509 : x
  2. Step 2: Convert to fraction form
    107,295/232,509 = 232,509/x
  3. Step 3: Cross multiply
    107,295x = 232,509 × 232,509
  4. Step 4: Simplify right side
    107,295x = 54,060,435,081
  5. Step 5: Solve for x
    x = 54,060,435,081/107,295
  6. Step 6: Final answer
    x = 503,848.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.