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Finding the Third Proportional to 155,202.75 and 243,624.75

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Solution

The third proportional to 155,202.75 and 243,624.75 is: 382,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,202.75 : 243,624.75 = 243,624.75 : x
  2. Step 2: Convert to fraction form
    155,202.75/243,624.75 = 243,624.75/x
  3. Step 3: Cross multiply
    155,202.75x = 243,624.75 × 243,624.75
  4. Step 4: Simplify right side
    155,202.75x = 59,353,018,812.56
  5. Step 5: Solve for x
    x = 59,353,018,812.56/155,202.75
  6. Step 6: Final answer
    x = 382,422.47

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.