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Finding the Third Proportional to 158,110 and 342,464

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Solution

The third proportional to 158,110 and 342,464 is: 741,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,110 : 342,464 = 342,464 : x
  2. Step 2: Convert to fraction form
    158,110/342,464 = 342,464/x
  3. Step 3: Cross multiply
    158,110x = 342,464 × 342,464
  4. Step 4: Simplify right side
    158,110x = 117,281,591,296
  5. Step 5: Solve for x
    x = 117,281,591,296/158,110
  6. Step 6: Final answer
    x = 741,772.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.