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Finding the Third Proportional to 132,594 and 286,368

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Solution

The third proportional to 132,594 and 286,368 is: 618,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,594 : 286,368 = 286,368 : x
  2. Step 2: Convert to fraction form
    132,594/286,368 = 286,368/x
  3. Step 3: Cross multiply
    132,594x = 286,368 × 286,368
  4. Step 4: Simplify right side
    132,594x = 82,006,631,424
  5. Step 5: Solve for x
    x = 82,006,631,424/132,594
  6. Step 6: Final answer
    x = 618,479.20

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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.