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Finding the Third Proportional to 148,046 and 325,612

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Solution

The third proportional to 148,046 and 325,612 is: 716,150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,046 : 325,612 = 325,612 : x
  2. Step 2: Convert to fraction form
    148,046/325,612 = 325,612/x
  3. Step 3: Cross multiply
    148,046x = 325,612 × 325,612
  4. Step 4: Simplify right side
    148,046x = 106,023,174,544
  5. Step 5: Solve for x
    x = 106,023,174,544/148,046
  6. Step 6: Final answer
    x = 716,150.21

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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.