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Finding the Third Proportional to 103,948 and 224,514

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Solution

The third proportional to 103,948 and 224,514 is: 484,920.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,948 : 224,514 = 224,514 : x
  2. Step 2: Convert to fraction form
    103,948/224,514 = 224,514/x
  3. Step 3: Cross multiply
    103,948x = 224,514 × 224,514
  4. Step 4: Simplify right side
    103,948x = 50,406,536,196
  5. Step 5: Solve for x
    x = 50,406,536,196/103,948
  6. Step 6: Final answer
    x = 484,920.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.