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Finding the Third Proportional to 127,584 and 260,352

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Solution

The third proportional to 127,584 and 260,352 is: 531,282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,584 : 260,352 = 260,352 : x
  2. Step 2: Convert to fraction form
    127,584/260,352 = 260,352/x
  3. Step 3: Cross multiply
    127,584x = 260,352 × 260,352
  4. Step 4: Simplify right side
    127,584x = 67,783,163,904
  5. Step 5: Solve for x
    x = 67,783,163,904/127,584
  6. Step 6: Final answer
    x = 531,282.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.