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Finding the Third Proportional to 127,396 and 272,648

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Solution

The third proportional to 127,396 and 272,648 is: 583,510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,396 : 272,648 = 272,648 : x
  2. Step 2: Convert to fraction form
    127,396/272,648 = 272,648/x
  3. Step 3: Cross multiply
    127,396x = 272,648 × 272,648
  4. Step 4: Simplify right side
    127,396x = 74,336,931,904
  5. Step 5: Solve for x
    x = 74,336,931,904/127,396
  6. Step 6: Final answer
    x = 583,510.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.