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Finding the Third Proportional to 157,721.24 and 342,062.37

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Solution

The third proportional to 157,721.24 and 342,062.37 is: 741,857.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,721.24 : 342,062.37 = 342,062.37 : x
  2. Step 2: Convert to fraction form
    157,721.24/342,062.37 = 342,062.37/x
  3. Step 3: Cross multiply
    157,721.24x = 342,062.37 × 342,062.37
  4. Step 4: Simplify right side
    157,721.24x = 117,006,663,045.92
  5. Step 5: Solve for x
    x = 117,006,663,045.92/157,721.24
  6. Step 6: Final answer
    x = 741,857.37

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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.