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Finding the Third Proportional to 148,037 and 325,598

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Solution

The third proportional to 148,037 and 325,598 is: 716,132.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,037 : 325,598 = 325,598 : x
  2. Step 2: Convert to fraction form
    148,037/325,598 = 325,598/x
  3. Step 3: Cross multiply
    148,037x = 325,598 × 325,598
  4. Step 4: Simplify right side
    148,037x = 106,014,057,604
  5. Step 5: Solve for x
    x = 106,014,057,604/148,037
  6. Step 6: Final answer
    x = 716,132.17

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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.