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Finding the Third Proportional to 132,308 and 284,584

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Solution

The third proportional to 132,308 and 284,584 is: 612,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,308 : 284,584 = 284,584 : x
  2. Step 2: Convert to fraction form
    132,308/284,584 = 284,584/x
  3. Step 3: Cross multiply
    132,308x = 284,584 × 284,584
  4. Step 4: Simplify right side
    132,308x = 80,988,053,056
  5. Step 5: Solve for x
    x = 80,988,053,056/132,308
  6. Step 6: Final answer
    x = 612,117.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.