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Finding the Third Proportional to 114,501.06 and 244,725.97

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Solution

The third proportional to 114,501.06 and 244,725.97 is: 523,058.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,501.06 : 244,725.97 = 244,725.97 : x
  2. Step 2: Convert to fraction form
    114,501.06/244,725.97 = 244,725.97/x
  3. Step 3: Cross multiply
    114,501.06x = 244,725.97 × 244,725.97
  4. Step 4: Simplify right side
    114,501.06x = 59,890,799,780.63
  5. Step 5: Solve for x
    x = 59,890,799,780.63/114,501.06
  6. Step 6: Final answer
    x = 523,058.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.