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Finding the Third Proportional to 145,717.50 and 231,705

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Solution

The third proportional to 145,717.50 and 231,705 is: 368,433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,717.50 : 231,705 = 231,705 : x
  2. Step 2: Convert to fraction form
    145,717.50/231,705 = 231,705/x
  3. Step 3: Cross multiply
    145,717.50x = 231,705 × 231,705
  4. Step 4: Simplify right side
    145,717.50x = 53,687,207,025
  5. Step 5: Solve for x
    x = 53,687,207,025/145,717.50
  6. Step 6: Final answer
    x = 368,433.49

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.