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Finding the Third Proportional to 127,398 and 276,948

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Solution

The third proportional to 127,398 and 276,948 is: 602,051.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,398 : 276,948 = 276,948 : x
  2. Step 2: Convert to fraction form
    127,398/276,948 = 276,948/x
  3. Step 3: Cross multiply
    127,398x = 276,948 × 276,948
  4. Step 4: Simplify right side
    127,398x = 76,700,194,704
  5. Step 5: Solve for x
    x = 76,700,194,704/127,398
  6. Step 6: Final answer
    x = 602,051.80

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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.