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Finding the Third Proportional to 212,564.25 and 324,496.13

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Solution

The third proportional to 212,564.25 and 324,496.13 is: 495,368.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,564.25 : 324,496.13 = 324,496.13 : x
  2. Step 2: Convert to fraction form
    212,564.25/324,496.13 = 324,496.13/x
  3. Step 3: Cross multiply
    212,564.25x = 324,496.13 × 324,496.13
  4. Step 4: Simplify right side
    212,564.25x = 105,297,735,140.02
  5. Step 5: Solve for x
    x = 105,297,735,140.02/212,564.25
  6. Step 6: Final answer
    x = 495,368.98

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Why These Related Problems?

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