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Finding the Third Proportional to 142,389 and 207,960.50

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Solution

The third proportional to 142,389 and 207,960.50 is: 303,728.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,389 : 207,960.50 = 207,960.50 : x
  2. Step 2: Convert to fraction form
    142,389/207,960.50 = 207,960.50/x
  3. Step 3: Cross multiply
    142,389x = 207,960.50 × 207,960.50
  4. Step 4: Simplify right side
    142,389x = 43,247,569,560.25
  5. Step 5: Solve for x
    x = 43,247,569,560.25/142,389
  6. Step 6: Final answer
    x = 303,728.30

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.