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Finding the Third Proportional to 160,008.75 and 247,816.13

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Solution

The third proportional to 160,008.75 and 247,816.13 is: 383,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,008.75 : 247,816.13 = 247,816.13 : x
  2. Step 2: Convert to fraction form
    160,008.75/247,816.13 = 247,816.13/x
  3. Step 3: Cross multiply
    160,008.75x = 247,816.13 × 247,816.13
  4. Step 4: Simplify right side
    160,008.75x = 61,412,831,810.02
  5. Step 5: Solve for x
    x = 61,412,831,810.02/160,008.75
  6. Step 6: Final answer
    x = 383,809.21

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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.