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Finding the Third Proportional to 169,002 and 359,528

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Solution

The third proportional to 169,002 and 359,528 is: 764,845.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,002 : 359,528 = 359,528 : x
  2. Step 2: Convert to fraction form
    169,002/359,528 = 359,528/x
  3. Step 3: Cross multiply
    169,002x = 359,528 × 359,528
  4. Step 4: Simplify right side
    169,002x = 129,260,382,784
  5. Step 5: Solve for x
    x = 129,260,382,784/169,002
  6. Step 6: Final answer
    x = 764,845.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.