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Finding the Third Proportional to 154,135.13 and 241,854.19

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Solution

The third proportional to 154,135.13 and 241,854.19 is: 379,494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,135.13 : 241,854.19 = 241,854.19 : x
  2. Step 2: Convert to fraction form
    154,135.13/241,854.19 = 241,854.19/x
  3. Step 3: Cross multiply
    154,135.13x = 241,854.19 × 241,854.19
  4. Step 4: Simplify right side
    154,135.13x = 58,493,448,011.29
  5. Step 5: Solve for x
    x = 58,493,448,011.29/154,135.13
  6. Step 6: Final answer
    x = 379,494.60

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.