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Finding the Third Proportional to 152,878.13 and 359,712.75

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Solution

The third proportional to 152,878.13 and 359,712.75 is: 846,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,878.13 : 359,712.75 = 359,712.75 : x
  2. Step 2: Convert to fraction form
    152,878.13/359,712.75 = 359,712.75/x
  3. Step 3: Cross multiply
    152,878.13x = 359,712.75 × 359,712.75
  4. Step 4: Simplify right side
    152,878.13x = 129,393,262,512.56
  5. Step 5: Solve for x
    x = 129,393,262,512.56/152,878.13
  6. Step 6: Final answer
    x = 846,381.80

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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.