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Finding the Third Proportional to 124,440 and 266,340

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Solution

The third proportional to 124,440 and 266,340 is: 570,049.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,440 : 266,340 = 266,340 : x
  2. Step 2: Convert to fraction form
    124,440/266,340 = 266,340/x
  3. Step 3: Cross multiply
    124,440x = 266,340 × 266,340
  4. Step 4: Simplify right side
    124,440x = 70,936,995,600
  5. Step 5: Solve for x
    x = 70,936,995,600/124,440
  6. Step 6: Final answer
    x = 570,049.79

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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.