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Finding the Third Proportional to 193,887 and 415,854

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Solution

The third proportional to 193,887 and 415,854 is: 891,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,887 : 415,854 = 415,854 : x
  2. Step 2: Convert to fraction form
    193,887/415,854 = 415,854/x
  3. Step 3: Cross multiply
    193,887x = 415,854 × 415,854
  4. Step 4: Simplify right side
    193,887x = 172,934,549,316
  5. Step 5: Solve for x
    x = 172,934,549,316/193,887
  6. Step 6: Final answer
    x = 891,934.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.