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Finding the Third Proportional to 157,952 and 342,112

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Solution

The third proportional to 157,952 and 342,112 is: 740,988.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,952 : 342,112 = 342,112 : x
  2. Step 2: Convert to fraction form
    157,952/342,112 = 342,112/x
  3. Step 3: Cross multiply
    157,952x = 342,112 × 342,112
  4. Step 4: Simplify right side
    157,952x = 117,040,620,544
  5. Step 5: Solve for x
    x = 117,040,620,544/157,952
  6. Step 6: Final answer
    x = 740,988.53

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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.