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Finding the Third Proportional to 127,564 and 279,321

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Solution

The third proportional to 127,564 and 279,321 is: 611,616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,564 : 279,321 = 279,321 : x
  2. Step 2: Convert to fraction form
    127,564/279,321 = 279,321/x
  3. Step 3: Cross multiply
    127,564x = 279,321 × 279,321
  4. Step 4: Simplify right side
    127,564x = 78,020,221,041
  5. Step 5: Solve for x
    x = 78,020,221,041/127,564
  6. Step 6: Final answer
    x = 611,616.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.