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Finding the Third Proportional to 126,584 and 269,528

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Solution

The third proportional to 126,584 and 269,528 is: 573,890.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,584 : 269,528 = 269,528 : x
  2. Step 2: Convert to fraction form
    126,584/269,528 = 269,528/x
  3. Step 3: Cross multiply
    126,584x = 269,528 × 269,528
  4. Step 4: Simplify right side
    126,584x = 72,645,342,784
  5. Step 5: Solve for x
    x = 72,645,342,784/126,584
  6. Step 6: Final answer
    x = 573,890.40

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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.