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Finding the Third Proportional to 112,919.06 and 243,470.81

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Solution

The third proportional to 112,919.06 and 243,470.81 is: 524,960.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,919.06 : 243,470.81 = 243,470.81 : x
  2. Step 2: Convert to fraction form
    112,919.06/243,470.81 = 243,470.81/x
  3. Step 3: Cross multiply
    112,919.06x = 243,470.81 × 243,470.81
  4. Step 4: Simplify right side
    112,919.06x = 59,278,036,539.41
  5. Step 5: Solve for x
    x = 59,278,036,539.41/112,919.06
  6. Step 6: Final answer
    x = 524,960.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.