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Finding the Third Proportional to 131,598 and 288,186

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Solution

The third proportional to 131,598 and 288,186 is: 631,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,598 : 288,186 = 288,186 : x
  2. Step 2: Convert to fraction form
    131,598/288,186 = 288,186/x
  3. Step 3: Cross multiply
    131,598x = 288,186 × 288,186
  4. Step 4: Simplify right side
    131,598x = 83,051,170,596
  5. Step 5: Solve for x
    x = 83,051,170,596/131,598
  6. Step 6: Final answer
    x = 631,097.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.