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Finding the Third Proportional to 114,514 and 244,246

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Solution

The third proportional to 114,514 and 244,246 is: 520,950.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,514 : 244,246 = 244,246 : x
  2. Step 2: Convert to fraction form
    114,514/244,246 = 244,246/x
  3. Step 3: Cross multiply
    114,514x = 244,246 × 244,246
  4. Step 4: Simplify right side
    114,514x = 59,656,108,516
  5. Step 5: Solve for x
    x = 59,656,108,516/114,514
  6. Step 6: Final answer
    x = 520,950.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.