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Finding the Third Proportional to 147,536 and 223,532

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Solution

The third proportional to 147,536 and 223,532 is: 338,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,536 : 223,532 = 223,532 : x
  2. Step 2: Convert to fraction form
    147,536/223,532 = 223,532/x
  3. Step 3: Cross multiply
    147,536x = 223,532 × 223,532
  4. Step 4: Simplify right side
    147,536x = 49,966,555,024
  5. Step 5: Solve for x
    x = 49,966,555,024/147,536
  6. Step 6: Final answer
    x = 338,673.65

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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.