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Finding the Third Proportional to 155,031 and 232,546.50

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Solution

The third proportional to 155,031 and 232,546.50 is: 348,819.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,031 : 232,546.50 = 232,546.50 : x
  2. Step 2: Convert to fraction form
    155,031/232,546.50 = 232,546.50/x
  3. Step 3: Cross multiply
    155,031x = 232,546.50 × 232,546.50
  4. Step 4: Simplify right side
    155,031x = 54,077,874,662.25
  5. Step 5: Solve for x
    x = 54,077,874,662.25/155,031
  6. Step 6: Final answer
    x = 348,819.75

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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.