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Finding the Third Proportional to 158,080 and 241,060

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Solution

The third proportional to 158,080 and 241,060 is: 367,598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,080 : 241,060 = 241,060 : x
  2. Step 2: Convert to fraction form
    158,080/241,060 = 241,060/x
  3. Step 3: Cross multiply
    158,080x = 241,060 × 241,060
  4. Step 4: Simplify right side
    158,080x = 58,109,923,600
  5. Step 5: Solve for x
    x = 58,109,923,600/158,080
  6. Step 6: Final answer
    x = 367,598.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.