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Finding the Third Proportional to 212,754 and 324,781.50

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Solution

The third proportional to 212,754 and 324,781.50 is: 495,798.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,754 : 324,781.50 = 324,781.50 : x
  2. Step 2: Convert to fraction form
    212,754/324,781.50 = 324,781.50/x
  3. Step 3: Cross multiply
    212,754x = 324,781.50 × 324,781.50
  4. Step 4: Simplify right side
    212,754x = 105,483,022,742.25
  5. Step 5: Solve for x
    x = 105,483,022,742.25/212,754
  6. Step 6: Final answer
    x = 495,798.07

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.