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Finding the Third Proportional to 155,527.50 and 240,165

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Solution

The third proportional to 155,527.50 and 240,165 is: 370,861.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,527.50 : 240,165 = 240,165 : x
  2. Step 2: Convert to fraction form
    155,527.50/240,165 = 240,165/x
  3. Step 3: Cross multiply
    155,527.50x = 240,165 × 240,165
  4. Step 4: Simplify right side
    155,527.50x = 57,679,227,225
  5. Step 5: Solve for x
    x = 57,679,227,225/155,527.50
  6. Step 6: Final answer
    x = 370,861.92

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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.