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Finding the Third Proportional to 107,184 and 232,814

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Solution

The third proportional to 107,184 and 232,814 is: 505,694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,184 : 232,814 = 232,814 : x
  2. Step 2: Convert to fraction form
    107,184/232,814 = 232,814/x
  3. Step 3: Cross multiply
    107,184x = 232,814 × 232,814
  4. Step 4: Simplify right side
    107,184x = 54,202,358,596
  5. Step 5: Solve for x
    x = 54,202,358,596/107,184
  6. Step 6: Final answer
    x = 505,694.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.