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Finding the Third Proportional to 167,984 and 242,040

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Solution

The third proportional to 167,984 and 242,040 is: 348,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,984 : 242,040 = 242,040 : x
  2. Step 2: Convert to fraction form
    167,984/242,040 = 242,040/x
  3. Step 3: Cross multiply
    167,984x = 242,040 × 242,040
  4. Step 4: Simplify right side
    167,984x = 58,583,361,600
  5. Step 5: Solve for x
    x = 58,583,361,600/167,984
  6. Step 6: Final answer
    x = 348,743.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.