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Finding the Third Proportional to 124,369 and 266,483

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Solution

The third proportional to 124,369 and 266,483 is: 570,987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,369 : 266,483 = 266,483 : x
  2. Step 2: Convert to fraction form
    124,369/266,483 = 266,483/x
  3. Step 3: Cross multiply
    124,369x = 266,483 × 266,483
  4. Step 4: Simplify right side
    124,369x = 71,013,189,289
  5. Step 5: Solve for x
    x = 71,013,189,289/124,369
  6. Step 6: Final answer
    x = 570,987.86

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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.