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Finding the Third Proportional to 143,088 and 310,780.50

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Solution

The third proportional to 143,088 and 310,780.50 is: 675,000.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,088 : 310,780.50 = 310,780.50 : x
  2. Step 2: Convert to fraction form
    143,088/310,780.50 = 310,780.50/x
  3. Step 3: Cross multiply
    143,088x = 310,780.50 × 310,780.50
  4. Step 4: Simplify right side
    143,088x = 96,584,519,180.25
  5. Step 5: Solve for x
    x = 96,584,519,180.25/143,088
  6. Step 6: Final answer
    x = 675,000.83

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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.