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Finding the Third Proportional to 127,570 and 279,332

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Solution

The third proportional to 127,570 and 279,332 is: 611,635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,570 : 279,332 = 279,332 : x
  2. Step 2: Convert to fraction form
    127,570/279,332 = 279,332/x
  3. Step 3: Cross multiply
    127,570x = 279,332 × 279,332
  4. Step 4: Simplify right side
    127,570x = 78,026,366,224
  5. Step 5: Solve for x
    x = 78,026,366,224/127,570
  6. Step 6: Final answer
    x = 611,635.70

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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.