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Finding the Third Proportional to 157,362.75 and 342,660.38

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Solution

The third proportional to 157,362.75 and 342,660.38 is: 746,149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,362.75 : 342,660.38 = 342,660.38 : x
  2. Step 2: Convert to fraction form
    157,362.75/342,660.38 = 342,660.38/x
  3. Step 3: Cross multiply
    157,362.75x = 342,660.38 × 342,660.38
  4. Step 4: Simplify right side
    157,362.75x = 117,416,132,595.14
  5. Step 5: Solve for x
    x = 117,416,132,595.14/157,362.75
  6. Step 6: Final answer
    x = 746,149.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.