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Finding the Third Proportional to 147,814 and 324,241.75

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Solution

The third proportional to 147,814 and 324,241.75 is: 711,250.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,814 : 324,241.75 = 324,241.75 : x
  2. Step 2: Convert to fraction form
    147,814/324,241.75 = 324,241.75/x
  3. Step 3: Cross multiply
    147,814x = 324,241.75 × 324,241.75
  4. Step 4: Simplify right side
    147,814x = 105,132,712,443.06
  5. Step 5: Solve for x
    x = 105,132,712,443.06/147,814
  6. Step 6: Final answer
    x = 711,250.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.