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Finding the Third Proportional to 161,234 and 348,734

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Solution

The third proportional to 161,234 and 348,734 is: 754,278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,234 : 348,734 = 348,734 : x
  2. Step 2: Convert to fraction form
    161,234/348,734 = 348,734/x
  3. Step 3: Cross multiply
    161,234x = 348,734 × 348,734
  4. Step 4: Simplify right side
    161,234x = 121,615,402,756
  5. Step 5: Solve for x
    x = 121,615,402,756/161,234
  6. Step 6: Final answer
    x = 754,278.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.