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Finding the Third Proportional to 147,318.75 and 285,720.75

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Solution

The third proportional to 147,318.75 and 285,720.75 is: 554,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,318.75 : 285,720.75 = 285,720.75 : x
  2. Step 2: Convert to fraction form
    147,318.75/285,720.75 = 285,720.75/x
  3. Step 3: Cross multiply
    147,318.75x = 285,720.75 × 285,720.75
  4. Step 4: Simplify right side
    147,318.75x = 81,636,346,980.56
  5. Step 5: Solve for x
    x = 81,636,346,980.56/147,318.75
  6. Step 6: Final answer
    x = 554,147.70

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These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.