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Finding the Third Proportional to 239,446.50 and 357,094.50

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Solution

The third proportional to 239,446.50 and 357,094.50 is: 532,546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,446.50 : 357,094.50 = 357,094.50 : x
  2. Step 2: Convert to fraction form
    239,446.50/357,094.50 = 357,094.50/x
  3. Step 3: Cross multiply
    239,446.50x = 357,094.50 × 357,094.50
  4. Step 4: Simplify right side
    239,446.50x = 127,516,481,930.25
  5. Step 5: Solve for x
    x = 127,516,481,930.25/239,446.50
  6. Step 6: Final answer
    x = 532,546.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.