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Finding the Third Proportional to 114,499 and 244,215

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Solution

The third proportional to 114,499 and 244,215 is: 520,886.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,499 : 244,215 = 244,215 : x
  2. Step 2: Convert to fraction form
    114,499/244,215 = 244,215/x
  3. Step 3: Cross multiply
    114,499x = 244,215 × 244,215
  4. Step 4: Simplify right side
    114,499x = 59,640,966,225
  5. Step 5: Solve for x
    x = 59,640,966,225/114,499
  6. Step 6: Final answer
    x = 520,886.35

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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.