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Finding the Third Proportional to 103,146 and 217,491

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Solution

The third proportional to 103,146 and 217,491 is: 458,595.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,146 : 217,491 = 217,491 : x
  2. Step 2: Convert to fraction form
    103,146/217,491 = 217,491/x
  3. Step 3: Cross multiply
    103,146x = 217,491 × 217,491
  4. Step 4: Simplify right side
    103,146x = 47,302,335,081
  5. Step 5: Solve for x
    x = 47,302,335,081/103,146
  6. Step 6: Final answer
    x = 458,595.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.