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Finding the Third Proportional to 158,098 and 242,979

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Solution

The third proportional to 158,098 and 242,979 is: 373,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,098 : 242,979 = 242,979 : x
  2. Step 2: Convert to fraction form
    158,098/242,979 = 242,979/x
  3. Step 3: Cross multiply
    158,098x = 242,979 × 242,979
  4. Step 4: Simplify right side
    158,098x = 59,038,794,441
  5. Step 5: Solve for x
    x = 59,038,794,441/158,098
  6. Step 6: Final answer
    x = 373,431.63

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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.