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Finding the Third Proportional to 107,232 and 235,614

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Solution

The third proportional to 107,232 and 235,614 is: 517,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,232 : 235,614 = 235,614 : x
  2. Step 2: Convert to fraction form
    107,232/235,614 = 235,614/x
  3. Step 3: Cross multiply
    107,232x = 235,614 × 235,614
  4. Step 4: Simplify right side
    107,232x = 55,513,956,996
  5. Step 5: Solve for x
    x = 55,513,956,996/107,232
  6. Step 6: Final answer
    x = 517,699.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.