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Finding the Third Proportional to 154,540.41 and 325,916.16

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Solution

The third proportional to 154,540.41 and 325,916.16 is: 687,337.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,540.41 : 325,916.16 = 325,916.16 : x
  2. Step 2: Convert to fraction form
    154,540.41/325,916.16 = 325,916.16/x
  3. Step 3: Cross multiply
    154,540.41x = 325,916.16 × 325,916.16
  4. Step 4: Simplify right side
    154,540.41x = 106,221,340,904.77
  5. Step 5: Solve for x
    x = 106,221,340,904.77/154,540.41
  6. Step 6: Final answer
    x = 687,337.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.