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Finding the Third Proportional to 127,442 and 277,240

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Solution

The third proportional to 127,442 and 277,240 is: 603,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,442 : 277,240 = 277,240 : x
  2. Step 2: Convert to fraction form
    127,442/277,240 = 277,240/x
  3. Step 3: Cross multiply
    127,442x = 277,240 × 277,240
  4. Step 4: Simplify right side
    127,442x = 76,862,017,600
  5. Step 5: Solve for x
    x = 76,862,017,600/127,442
  6. Step 6: Final answer
    x = 603,113.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.