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Finding the Third Proportional to 146,194.88 and 318,831.19

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Solution

The third proportional to 146,194.88 and 318,831.19 is: 695,327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,194.88 : 318,831.19 = 318,831.19 : x
  2. Step 2: Convert to fraction form
    146,194.88/318,831.19 = 318,831.19/x
  3. Step 3: Cross multiply
    146,194.88x = 318,831.19 × 318,831.19
  4. Step 4: Simplify right side
    146,194.88x = 101,653,326,122.66
  5. Step 5: Solve for x
    x = 101,653,326,122.66/146,194.88
  6. Step 6: Final answer
    x = 695,327.56

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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.