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Finding the Third Proportional to 142,531.50 and 309,870.75

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Solution

The third proportional to 142,531.50 and 309,870.75 is: 673,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,531.50 : 309,870.75 = 309,870.75 : x
  2. Step 2: Convert to fraction form
    142,531.50/309,870.75 = 309,870.75/x
  3. Step 3: Cross multiply
    142,531.50x = 309,870.75 × 309,870.75
  4. Step 4: Simplify right side
    142,531.50x = 96,019,881,705.56
  5. Step 5: Solve for x
    x = 96,019,881,705.56/142,531.50
  6. Step 6: Final answer
    x = 673,674.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.