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Finding the Third Proportional to 174,662 and 270,528

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Solution

The third proportional to 174,662 and 270,528 is: 419,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,662 : 270,528 = 270,528 : x
  2. Step 2: Convert to fraction form
    174,662/270,528 = 270,528/x
  3. Step 3: Cross multiply
    174,662x = 270,528 × 270,528
  4. Step 4: Simplify right side
    174,662x = 73,185,398,784
  5. Step 5: Solve for x
    x = 73,185,398,784/174,662
  6. Step 6: Final answer
    x = 419,011.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.