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Finding the Third Proportional to 135,246 and 288,584

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Solution

The third proportional to 135,246 and 288,584 is: 615,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,246 : 288,584 = 288,584 : x
  2. Step 2: Convert to fraction form
    135,246/288,584 = 288,584/x
  3. Step 3: Cross multiply
    135,246x = 288,584 × 288,584
  4. Step 4: Simplify right side
    135,246x = 83,280,725,056
  5. Step 5: Solve for x
    x = 83,280,725,056/135,246
  6. Step 6: Final answer
    x = 615,772.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.