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Finding the Third Proportional to 157,585.50 and 345,768.75

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Solution

The third proportional to 157,585.50 and 345,768.75 is: 758,674.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,585.50 : 345,768.75 = 345,768.75 : x
  2. Step 2: Convert to fraction form
    157,585.50/345,768.75 = 345,768.75/x
  3. Step 3: Cross multiply
    157,585.50x = 345,768.75 × 345,768.75
  4. Step 4: Simplify right side
    157,585.50x = 119,556,028,476.56
  5. Step 5: Solve for x
    x = 119,556,028,476.56/157,585.50
  6. Step 6: Final answer
    x = 758,674.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.