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Finding the Third Proportional to 132,820 and 286,376

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Solution

The third proportional to 132,820 and 286,376 is: 617,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,820 : 286,376 = 286,376 : x
  2. Step 2: Convert to fraction form
    132,820/286,376 = 286,376/x
  3. Step 3: Cross multiply
    132,820x = 286,376 × 286,376
  4. Step 4: Simplify right side
    132,820x = 82,011,213,376
  5. Step 5: Solve for x
    x = 82,011,213,376/132,820
  6. Step 6: Final answer
    x = 617,461.33

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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.