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Finding the Third Proportional to 155,402.30 and 232,505.44

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Solution

The third proportional to 155,402.30 and 232,505.44 is: 347,863.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,402.30 : 232,505.44 = 232,505.44 : x
  2. Step 2: Convert to fraction form
    155,402.30/232,505.44 = 232,505.44/x
  3. Step 3: Cross multiply
    155,402.30x = 232,505.44 × 232,505.44
  4. Step 4: Simplify right side
    155,402.30x = 54,058,778,467.07
  5. Step 5: Solve for x
    x = 54,058,778,467.07/155,402.30
  6. Step 6: Final answer
    x = 347,863.45

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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.