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Finding the Third Proportional to 234,011 and 353,082

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Solution

The third proportional to 234,011 and 353,082 is: 532,739.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,011 : 353,082 = 353,082 : x
  2. Step 2: Convert to fraction form
    234,011/353,082 = 353,082/x
  3. Step 3: Cross multiply
    234,011x = 353,082 × 353,082
  4. Step 4: Simplify right side
    234,011x = 124,666,898,724
  5. Step 5: Solve for x
    x = 124,666,898,724/234,011
  6. Step 6: Final answer
    x = 532,739.48

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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.