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Finding the Third Proportional to 107,175 and 232,797

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Solution

The third proportional to 107,175 and 232,797 is: 505,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,175 : 232,797 = 232,797 : x
  2. Step 2: Convert to fraction form
    107,175/232,797 = 232,797/x
  3. Step 3: Cross multiply
    107,175x = 232,797 × 232,797
  4. Step 4: Simplify right side
    107,175x = 54,194,443,209
  5. Step 5: Solve for x
    x = 54,194,443,209/107,175
  6. Step 6: Final answer
    x = 505,663.10

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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.