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Finding the Third Proportional to 160,480.13 and 248,355

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Solution

The third proportional to 160,480.13 and 248,355 is: 384,347.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,480.13 : 248,355 = 248,355 : x
  2. Step 2: Convert to fraction form
    160,480.13/248,355 = 248,355/x
  3. Step 3: Cross multiply
    160,480.13x = 248,355 × 248,355
  4. Step 4: Simplify right side
    160,480.13x = 61,680,206,025
  5. Step 5: Solve for x
    x = 61,680,206,025/160,480.13
  6. Step 6: Final answer
    x = 384,347.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.