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Finding the Third Proportional to 106,356 and 232,031

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Solution

The third proportional to 106,356 and 232,031 is: 506,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,356 : 232,031 = 232,031 : x
  2. Step 2: Convert to fraction form
    106,356/232,031 = 232,031/x
  3. Step 3: Cross multiply
    106,356x = 232,031 × 232,031
  4. Step 4: Simplify right side
    106,356x = 53,838,384,961
  5. Step 5: Solve for x
    x = 53,838,384,961/106,356
  6. Step 6: Final answer
    x = 506,209.19

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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.