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Finding the Third Proportional to 106,080 and 234,240

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Solution

The third proportional to 106,080 and 234,240 is: 517,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,080 : 234,240 = 234,240 : x
  2. Step 2: Convert to fraction form
    106,080/234,240 = 234,240/x
  3. Step 3: Cross multiply
    106,080x = 234,240 × 234,240
  4. Step 4: Simplify right side
    106,080x = 54,868,377,600
  5. Step 5: Solve for x
    x = 54,868,377,600/106,080
  6. Step 6: Final answer
    x = 517,235.84

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.