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Finding the Third Proportional to 131,386 and 297,847

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Solution

The third proportional to 131,386 and 297,847 is: 675,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,386 : 297,847 = 297,847 : x
  2. Step 2: Convert to fraction form
    131,386/297,847 = 297,847/x
  3. Step 3: Cross multiply
    131,386x = 297,847 × 297,847
  4. Step 4: Simplify right side
    131,386x = 88,712,835,409
  5. Step 5: Solve for x
    x = 88,712,835,409/131,386
  6. Step 6: Final answer
    x = 675,207.67

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.