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Finding the Third Proportional to 152,608.50 and 232,467.75

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Solution

The third proportional to 152,608.50 and 232,467.75 is: 354,116.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,608.50 : 232,467.75 = 232,467.75 : x
  2. Step 2: Convert to fraction form
    152,608.50/232,467.75 = 232,467.75/x
  3. Step 3: Cross multiply
    152,608.50x = 232,467.75 × 232,467.75
  4. Step 4: Simplify right side
    152,608.50x = 54,041,254,790.06
  5. Step 5: Solve for x
    x = 54,041,254,790.06/152,608.50
  6. Step 6: Final answer
    x = 354,116.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.