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Finding the Third Proportional to 153,241 and 324,910

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Solution

The third proportional to 153,241 and 324,910 is: 688,892.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,241 : 324,910 = 324,910 : x
  2. Step 2: Convert to fraction form
    153,241/324,910 = 324,910/x
  3. Step 3: Cross multiply
    153,241x = 324,910 × 324,910
  4. Step 4: Simplify right side
    153,241x = 105,566,508,100
  5. Step 5: Solve for x
    x = 105,566,508,100/153,241
  6. Step 6: Final answer
    x = 688,892.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.