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Finding the Third Proportional to 155,722.50 and 232,770

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Solution

The third proportional to 155,722.50 and 232,770 is: 347,938.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,722.50 : 232,770 = 232,770 : x
  2. Step 2: Convert to fraction form
    155,722.50/232,770 = 232,770/x
  3. Step 3: Cross multiply
    155,722.50x = 232,770 × 232,770
  4. Step 4: Simplify right side
    155,722.50x = 54,181,872,900
  5. Step 5: Solve for x
    x = 54,181,872,900/155,722.50
  6. Step 6: Final answer
    x = 347,938.63

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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.