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Finding the Third Proportional to 83,464 and 195,482

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Solution

The third proportional to 83,464 and 195,482 is: 457,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,464 : 195,482 = 195,482 : x
  2. Step 2: Convert to fraction form
    83,464/195,482 = 195,482/x
  3. Step 3: Cross multiply
    83,464x = 195,482 × 195,482
  4. Step 4: Simplify right side
    83,464x = 38,213,212,324
  5. Step 5: Solve for x
    x = 38,213,212,324/83,464
  6. Step 6: Final answer
    x = 457,840.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.