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Finding the Third Proportional to 155,524.50 and 240,159

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Solution

The third proportional to 155,524.50 and 240,159 is: 370,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,524.50 : 240,159 = 240,159 : x
  2. Step 2: Convert to fraction form
    155,524.50/240,159 = 240,159/x
  3. Step 3: Cross multiply
    155,524.50x = 240,159 × 240,159
  4. Step 4: Simplify right side
    155,524.50x = 57,676,345,281
  5. Step 5: Solve for x
    x = 57,676,345,281/155,524.50
  6. Step 6: Final answer
    x = 370,850.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.