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Finding the Third Proportional to 158,771 and 342,471

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Solution

The third proportional to 158,771 and 342,471 is: 738,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,771 : 342,471 = 342,471 : x
  2. Step 2: Convert to fraction form
    158,771/342,471 = 342,471/x
  3. Step 3: Cross multiply
    158,771x = 342,471 × 342,471
  4. Step 4: Simplify right side
    158,771x = 117,286,385,841
  5. Step 5: Solve for x
    x = 117,286,385,841/158,771
  6. Step 6: Final answer
    x = 738,714.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.