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Finding the Third Proportional to 171,228.75 and 272,698.88

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Solution

The third proportional to 171,228.75 and 272,698.88 is: 434,300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,228.75 : 272,698.88 = 272,698.88 : x
  2. Step 2: Convert to fraction form
    171,228.75/272,698.88 = 272,698.88/x
  3. Step 3: Cross multiply
    171,228.75x = 272,698.88 × 272,698.88
  4. Step 4: Simplify right side
    171,228.75x = 74,364,676,426.27
  5. Step 5: Solve for x
    x = 74,364,676,426.27/171,228.75
  6. Step 6: Final answer
    x = 434,300.18

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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.