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Finding the Third Proportional to 127,526 and 279,290

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Solution

The third proportional to 127,526 and 279,290 is: 611,662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,526 : 279,290 = 279,290 : x
  2. Step 2: Convert to fraction form
    127,526/279,290 = 279,290/x
  3. Step 3: Cross multiply
    127,526x = 279,290 × 279,290
  4. Step 4: Simplify right side
    127,526x = 78,002,904,100
  5. Step 5: Solve for x
    x = 78,002,904,100/127,526
  6. Step 6: Final answer
    x = 611,662.75

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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.