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Finding the Third Proportional to 131,984 and 293,416

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Solution

The third proportional to 131,984 and 293,416 is: 652,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,984 : 293,416 = 293,416 : x
  2. Step 2: Convert to fraction form
    131,984/293,416 = 293,416/x
  3. Step 3: Cross multiply
    131,984x = 293,416 × 293,416
  4. Step 4: Simplify right side
    131,984x = 86,092,949,056
  5. Step 5: Solve for x
    x = 86,092,949,056/131,984
  6. Step 6: Final answer
    x = 652,298.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.