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Finding the Third Proportional to 143,107.10 and 310,817.95

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Solution

The third proportional to 143,107.10 and 310,817.95 is: 675,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,107.10 : 310,817.95 = 310,817.95 : x
  2. Step 2: Convert to fraction form
    143,107.10/310,817.95 = 310,817.95/x
  3. Step 3: Cross multiply
    143,107.10x = 310,817.95 × 310,817.95
  4. Step 4: Simplify right side
    143,107.10x = 96,607,799,984.81
  5. Step 5: Solve for x
    x = 96,607,799,984.81/143,107.10
  6. Step 6: Final answer
    x = 675,073.42

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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.