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Finding the Third Proportional to 143,091 and 310,786.50

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Solution

The third proportional to 143,091 and 310,786.50 is: 675,012.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,091 : 310,786.50 = 310,786.50 : x
  2. Step 2: Convert to fraction form
    143,091/310,786.50 = 310,786.50/x
  3. Step 3: Cross multiply
    143,091x = 310,786.50 × 310,786.50
  4. Step 4: Simplify right side
    143,091x = 96,588,248,582.25
  5. Step 5: Solve for x
    x = 96,588,248,582.25/143,091
  6. Step 6: Final answer
    x = 675,012.74

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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.