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Finding the Third Proportional to 118,648.13 and 258,994.13

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Solution

The third proportional to 118,648.13 and 258,994.13 is: 565,352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,648.13 : 258,994.13 = 258,994.13 : x
  2. Step 2: Convert to fraction form
    118,648.13/258,994.13 = 258,994.13/x
  3. Step 3: Cross multiply
    118,648.13x = 258,994.13 × 258,994.13
  4. Step 4: Simplify right side
    118,648.13x = 67,077,956,784.52
  5. Step 5: Solve for x
    x = 67,077,956,784.52/118,648.13
  6. Step 6: Final answer
    x = 565,352.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.