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Finding the Third Proportional to 158,644 and 242,990

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Solution

The third proportional to 158,644 and 242,990 is: 372,180.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,644 : 242,990 = 242,990 : x
  2. Step 2: Convert to fraction form
    158,644/242,990 = 242,990/x
  3. Step 3: Cross multiply
    158,644x = 242,990 × 242,990
  4. Step 4: Simplify right side
    158,644x = 59,044,140,100
  5. Step 5: Solve for x
    x = 59,044,140,100/158,644
  6. Step 6: Final answer
    x = 372,180.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.