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Finding the Third Proportional to 154,230.75 and 357,010.13

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Solution

The third proportional to 154,230.75 and 357,010.13 is: 826,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,230.75 : 357,010.13 = 357,010.13 : x
  2. Step 2: Convert to fraction form
    154,230.75/357,010.13 = 357,010.13/x
  3. Step 3: Cross multiply
    154,230.75x = 357,010.13 × 357,010.13
  4. Step 4: Simplify right side
    154,230.75x = 127,456,229,352.52
  5. Step 5: Solve for x
    x = 127,456,229,352.52/154,230.75
  6. Step 6: Final answer
    x = 826,399.60

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.