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Finding the Third Proportional to 160,004 and 247,809

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Solution

The third proportional to 160,004 and 247,809 is: 383,798.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,004 : 247,809 = 247,809 : x
  2. Step 2: Convert to fraction form
    160,004/247,809 = 247,809/x
  3. Step 3: Cross multiply
    160,004x = 247,809 × 247,809
  4. Step 4: Simplify right side
    160,004x = 61,409,300,481
  5. Step 5: Solve for x
    x = 61,409,300,481/160,004
  6. Step 6: Final answer
    x = 383,798.53

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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.