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Finding the Third Proportional to 193,347 and 415,263

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Solution

The third proportional to 193,347 and 415,263 is: 891,885.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,347 : 415,263 = 415,263 : x
  2. Step 2: Convert to fraction form
    193,347/415,263 = 415,263/x
  3. Step 3: Cross multiply
    193,347x = 415,263 × 415,263
  4. Step 4: Simplify right side
    193,347x = 172,443,359,169
  5. Step 5: Solve for x
    x = 172,443,359,169/193,347
  6. Step 6: Final answer
    x = 891,885.36

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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.