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Finding the Third Proportional to 148,021 and 325,567

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Solution

The third proportional to 148,021 and 325,567 is: 716,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,021 : 325,567 = 325,567 : x
  2. Step 2: Convert to fraction form
    148,021/325,567 = 325,567/x
  3. Step 3: Cross multiply
    148,021x = 325,567 × 325,567
  4. Step 4: Simplify right side
    148,021x = 105,993,871,489
  5. Step 5: Solve for x
    x = 105,993,871,489/148,021
  6. Step 6: Final answer
    x = 716,073.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.