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Finding the Third Proportional to 152,879 and 359,716

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Solution

The third proportional to 152,879 and 359,716 is: 846,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,879 : 359,716 = 359,716 : x
  2. Step 2: Convert to fraction form
    152,879/359,716 = 359,716/x
  3. Step 3: Cross multiply
    152,879x = 359,716 × 359,716
  4. Step 4: Simplify right side
    152,879x = 129,395,600,656
  5. Step 5: Solve for x
    x = 129,395,600,656/152,879
  6. Step 6: Final answer
    x = 846,392.25

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.