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Finding the Third Proportional to 107,532 and 233,927

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Solution

The third proportional to 107,532 and 233,927 is: 508,888.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,532 : 233,927 = 233,927 : x
  2. Step 2: Convert to fraction form
    107,532/233,927 = 233,927/x
  3. Step 3: Cross multiply
    107,532x = 233,927 × 233,927
  4. Step 4: Simplify right side
    107,532x = 54,721,841,329
  5. Step 5: Solve for x
    x = 54,721,841,329/107,532
  6. Step 6: Final answer
    x = 508,888.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.