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Finding the Third Proportional to 180,208.13 and 244,360.13

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Solution

The third proportional to 180,208.13 and 244,360.13 is: 331,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,208.13 : 244,360.13 = 244,360.13 : x
  2. Step 2: Convert to fraction form
    180,208.13/244,360.13 = 244,360.13/x
  3. Step 3: Cross multiply
    180,208.13x = 244,360.13 × 244,360.13
  4. Step 4: Simplify right side
    180,208.13x = 59,711,870,690.02
  5. Step 5: Solve for x
    x = 59,711,870,690.02/180,208.13
  6. Step 6: Final answer
    x = 331,349.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.