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Finding the Third Proportional to 127,437 and 277,026

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Solution

The third proportional to 127,437 and 277,026 is: 602,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,437 : 277,026 = 277,026 : x
  2. Step 2: Convert to fraction form
    127,437/277,026 = 277,026/x
  3. Step 3: Cross multiply
    127,437x = 277,026 × 277,026
  4. Step 4: Simplify right side
    127,437x = 76,743,404,676
  5. Step 5: Solve for x
    x = 76,743,404,676/127,437
  6. Step 6: Final answer
    x = 602,206.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.