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Finding the Third Proportional to 104,804 and 160,398

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Solution

The third proportional to 104,804 and 160,398 is: 245,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,804 : 160,398 = 160,398 : x
  2. Step 2: Convert to fraction form
    104,804/160,398 = 160,398/x
  3. Step 3: Cross multiply
    104,804x = 160,398 × 160,398
  4. Step 4: Simplify right side
    104,804x = 25,727,518,404
  5. Step 5: Solve for x
    x = 25,727,518,404/104,804
  6. Step 6: Final answer
    x = 245,482.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.