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Finding the Third Proportional to 171,236.25 and 272,709

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Solution

The third proportional to 171,236.25 and 272,709 is: 434,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,236.25 : 272,709 = 272,709 : x
  2. Step 2: Convert to fraction form
    171,236.25/272,709 = 272,709/x
  3. Step 3: Cross multiply
    171,236.25x = 272,709 × 272,709
  4. Step 4: Simplify right side
    171,236.25x = 74,370,198,681
  5. Step 5: Solve for x
    x = 74,370,198,681/171,236.25
  6. Step 6: Final answer
    x = 434,313.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.