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Finding the Third Proportional to 131,246 and 286,550

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Solution

The third proportional to 131,246 and 286,550 is: 625,625.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,246 : 286,550 = 286,550 : x
  2. Step 2: Convert to fraction form
    131,246/286,550 = 286,550/x
  3. Step 3: Cross multiply
    131,246x = 286,550 × 286,550
  4. Step 4: Simplify right side
    131,246x = 82,110,902,500
  5. Step 5: Solve for x
    x = 82,110,902,500/131,246
  6. Step 6: Final answer
    x = 625,625.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.