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Finding the Third Proportional to 193,260 and 415,102

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Solution

The third proportional to 193,260 and 415,102 is: 891,595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,260 : 415,102 = 415,102 : x
  2. Step 2: Convert to fraction form
    193,260/415,102 = 415,102/x
  3. Step 3: Cross multiply
    193,260x = 415,102 × 415,102
  4. Step 4: Simplify right side
    193,260x = 172,309,670,404
  5. Step 5: Solve for x
    x = 172,309,670,404/193,260
  6. Step 6: Final answer
    x = 891,595.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.