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Finding the Third Proportional to 147,538 and 223,534

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Solution

The third proportional to 147,538 and 223,534 is: 338,675.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,538 : 223,534 = 223,534 : x
  2. Step 2: Convert to fraction form
    147,538/223,534 = 223,534/x
  3. Step 3: Cross multiply
    147,538x = 223,534 × 223,534
  4. Step 4: Simplify right side
    147,538x = 49,967,449,156
  5. Step 5: Solve for x
    x = 49,967,449,156/147,538
  6. Step 6: Final answer
    x = 338,675.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.