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Finding the Third Proportional to 127,270 and 287,543

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Solution

The third proportional to 127,270 and 287,543 is: 649,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,270 : 287,543 = 287,543 : x
  2. Step 2: Convert to fraction form
    127,270/287,543 = 287,543/x
  3. Step 3: Cross multiply
    127,270x = 287,543 × 287,543
  4. Step 4: Simplify right side
    127,270x = 82,680,976,849
  5. Step 5: Solve for x
    x = 82,680,976,849/127,270
  6. Step 6: Final answer
    x = 649,650.17

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.