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Finding the Third Proportional to 161,524 and 240,712

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Solution

The third proportional to 161,524 and 240,712 is: 358,722.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,524 : 240,712 = 240,712 : x
  2. Step 2: Convert to fraction form
    161,524/240,712 = 240,712/x
  3. Step 3: Cross multiply
    161,524x = 240,712 × 240,712
  4. Step 4: Simplify right side
    161,524x = 57,942,266,944
  5. Step 5: Solve for x
    x = 57,942,266,944/161,524
  6. Step 6: Final answer
    x = 358,722.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.