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Finding the Third Proportional to 153,581 and 232,519

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Solution

The third proportional to 153,581 and 232,519 is: 352,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,581 : 232,519 = 232,519 : x
  2. Step 2: Convert to fraction form
    153,581/232,519 = 232,519/x
  3. Step 3: Cross multiply
    153,581x = 232,519 × 232,519
  4. Step 4: Simplify right side
    153,581x = 54,065,085,361
  5. Step 5: Solve for x
    x = 54,065,085,361/153,581
  6. Step 6: Final answer
    x = 352,029.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.