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Finding the Third Proportional to 132,650 and 286,306

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Solution

The third proportional to 132,650 and 286,306 is: 617,950.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,650 : 286,306 = 286,306 : x
  2. Step 2: Convert to fraction form
    132,650/286,306 = 286,306/x
  3. Step 3: Cross multiply
    132,650x = 286,306 × 286,306
  4. Step 4: Simplify right side
    132,650x = 81,971,125,636
  5. Step 5: Solve for x
    x = 81,971,125,636/132,650
  6. Step 6: Final answer
    x = 617,950.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.