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Finding the Third Proportional to 157,014 and 242,578

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Solution

The third proportional to 157,014 and 242,578 is: 374,769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,014 : 242,578 = 242,578 : x
  2. Step 2: Convert to fraction form
    157,014/242,578 = 242,578/x
  3. Step 3: Cross multiply
    157,014x = 242,578 × 242,578
  4. Step 4: Simplify right side
    157,014x = 58,844,086,084
  5. Step 5: Solve for x
    x = 58,844,086,084/157,014
  6. Step 6: Final answer
    x = 374,769.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.