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Finding the Third Proportional to 132,517 and 288,362

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Solution

The third proportional to 132,517 and 288,362 is: 627,486.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,517 : 288,362 = 288,362 : x
  2. Step 2: Convert to fraction form
    132,517/288,362 = 288,362/x
  3. Step 3: Cross multiply
    132,517x = 288,362 × 288,362
  4. Step 4: Simplify right side
    132,517x = 83,152,643,044
  5. Step 5: Solve for x
    x = 83,152,643,044/132,517
  6. Step 6: Final answer
    x = 627,486.61

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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.