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Finding the Third Proportional to 157,344 and 241,989

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Solution

The third proportional to 157,344 and 241,989 is: 372,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,344 : 241,989 = 241,989 : x
  2. Step 2: Convert to fraction form
    157,344/241,989 = 241,989/x
  3. Step 3: Cross multiply
    157,344x = 241,989 × 241,989
  4. Step 4: Simplify right side
    157,344x = 58,558,676,121
  5. Step 5: Solve for x
    x = 58,558,676,121/157,344
  6. Step 6: Final answer
    x = 372,169.74

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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.