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Finding the Third Proportional to 218,240 and 294,726

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Solution

The third proportional to 218,240 and 294,726 is: 398,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,240 : 294,726 = 294,726 : x
  2. Step 2: Convert to fraction form
    218,240/294,726 = 294,726/x
  3. Step 3: Cross multiply
    218,240x = 294,726 × 294,726
  4. Step 4: Simplify right side
    218,240x = 86,863,415,076
  5. Step 5: Solve for x
    x = 86,863,415,076/218,240
  6. Step 6: Final answer
    x = 398,017.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.