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Finding the Third Proportional to 158,010.75 and 345,582.75

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Solution

The third proportional to 158,010.75 and 345,582.75 is: 755,818.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,010.75 : 345,582.75 = 345,582.75 : x
  2. Step 2: Convert to fraction form
    158,010.75/345,582.75 = 345,582.75/x
  3. Step 3: Cross multiply
    158,010.75x = 345,582.75 × 345,582.75
  4. Step 4: Simplify right side
    158,010.75x = 119,427,437,097.56
  5. Step 5: Solve for x
    x = 119,427,437,097.56/158,010.75
  6. Step 6: Final answer
    x = 755,818.43

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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.