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Finding the Third Proportional to 130,843 and 207,521

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Solution

The third proportional to 130,843 and 207,521 is: 329,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,843 : 207,521 = 207,521 : x
  2. Step 2: Convert to fraction form
    130,843/207,521 = 207,521/x
  3. Step 3: Cross multiply
    130,843x = 207,521 × 207,521
  4. Step 4: Simplify right side
    130,843x = 43,064,965,441
  5. Step 5: Solve for x
    x = 43,064,965,441/130,843
  6. Step 6: Final answer
    x = 329,134.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.