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Finding the Third Proportional to 239,152.50 and 354,111.75

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Solution

The third proportional to 239,152.50 and 354,111.75 is: 524,331.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,152.50 : 354,111.75 = 354,111.75 : x
  2. Step 2: Convert to fraction form
    239,152.50/354,111.75 = 354,111.75/x
  3. Step 3: Cross multiply
    239,152.50x = 354,111.75 × 354,111.75
  4. Step 4: Simplify right side
    239,152.50x = 125,395,131,488.06
  5. Step 5: Solve for x
    x = 125,395,131,488.06/239,152.50
  6. Step 6: Final answer
    x = 524,331.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.