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Finding the Third Proportional to 124,292.81 and 270,734.06

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Solution

The third proportional to 124,292.81 and 270,734.06 is: 589,711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,292.81 : 270,734.06 = 270,734.06 : x
  2. Step 2: Convert to fraction form
    124,292.81/270,734.06 = 270,734.06/x
  3. Step 3: Cross multiply
    124,292.81x = 270,734.06 × 270,734.06
  4. Step 4: Simplify right side
    124,292.81x = 73,296,932,597.75
  5. Step 5: Solve for x
    x = 73,296,932,597.75/124,292.81
  6. Step 6: Final answer
    x = 589,711.76

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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.