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Finding the Third Proportional to 160,024 and 247,838

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Solution

The third proportional to 160,024 and 247,838 is: 383,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,024 : 247,838 = 247,838 : x
  2. Step 2: Convert to fraction form
    160,024/247,838 = 247,838/x
  3. Step 3: Cross multiply
    160,024x = 247,838 × 247,838
  4. Step 4: Simplify right side
    160,024x = 61,423,674,244
  5. Step 5: Solve for x
    x = 61,423,674,244/160,024
  6. Step 6: Final answer
    x = 383,840.39

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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.