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Finding the Third Proportional to 132,516 and 288,360

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Solution

The third proportional to 132,516 and 288,360 is: 627,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,516 : 288,360 = 288,360 : x
  2. Step 2: Convert to fraction form
    132,516/288,360 = 288,360/x
  3. Step 3: Cross multiply
    132,516x = 288,360 × 288,360
  4. Step 4: Simplify right side
    132,516x = 83,151,489,600
  5. Step 5: Solve for x
    x = 83,151,489,600/132,516
  6. Step 6: Final answer
    x = 627,482.64

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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.