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Finding the Third Proportional to 147,873 and 314,203.50

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Solution

The third proportional to 147,873 and 314,203.50 is: 667,625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,873 : 314,203.50 = 314,203.50 : x
  2. Step 2: Convert to fraction form
    147,873/314,203.50 = 314,203.50/x
  3. Step 3: Cross multiply
    147,873x = 314,203.50 × 314,203.50
  4. Step 4: Simplify right side
    147,873x = 98,723,839,412.25
  5. Step 5: Solve for x
    x = 98,723,839,412.25/147,873
  6. Step 6: Final answer
    x = 667,625.86

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.