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Finding the Third Proportional to 154,207.55 and 343,872.53

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Solution

The third proportional to 154,207.55 and 343,872.53 is: 766,812.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,207.55 : 343,872.53 = 343,872.53 : x
  2. Step 2: Convert to fraction form
    154,207.55/343,872.53 = 343,872.53/x
  3. Step 3: Cross multiply
    154,207.55x = 343,872.53 × 343,872.53
  4. Step 4: Simplify right side
    154,207.55x = 118,248,315,061.78
  5. Step 5: Solve for x
    x = 118,248,315,061.78/154,207.55
  6. Step 6: Final answer
    x = 766,812.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.