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Finding the Third Proportional to 142,041.81 and 315,613.57

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Solution

The third proportional to 142,041.81 and 315,613.57 is: 701,285.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,041.81 : 315,613.57 = 315,613.57 : x
  2. Step 2: Convert to fraction form
    142,041.81/315,613.57 = 315,613.57/x
  3. Step 3: Cross multiply
    142,041.81x = 315,613.57 × 315,613.57
  4. Step 4: Simplify right side
    142,041.81x = 99,611,927,614.70
  5. Step 5: Solve for x
    x = 99,611,927,614.70/142,041.81
  6. Step 6: Final answer
    x = 701,285.99

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.