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Finding the Third Proportional to 154,350 and 231,889.50

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Solution

The third proportional to 154,350 and 231,889.50 is: 348,381.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,350 : 231,889.50 = 231,889.50 : x
  2. Step 2: Convert to fraction form
    154,350/231,889.50 = 231,889.50/x
  3. Step 3: Cross multiply
    154,350x = 231,889.50 × 231,889.50
  4. Step 4: Simplify right side
    154,350x = 53,772,740,210.25
  5. Step 5: Solve for x
    x = 53,772,740,210.25/154,350
  6. Step 6: Final answer
    x = 348,381.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.