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Finding the Third Proportional to 157,746.38 and 342,108.56

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Solution

The third proportional to 157,746.38 and 342,108.56 is: 741,939.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,746.38 : 342,108.56 = 342,108.56 : x
  2. Step 2: Convert to fraction form
    157,746.38/342,108.56 = 342,108.56/x
  3. Step 3: Cross multiply
    157,746.38x = 342,108.56 × 342,108.56
  4. Step 4: Simplify right side
    157,746.38x = 117,038,268,535.82
  5. Step 5: Solve for x
    x = 117,038,268,535.82/157,746.38
  6. Step 6: Final answer
    x = 741,939.51

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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.