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Finding the Third Proportional to 171,230.63 and 272,701.69

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Solution

The third proportional to 171,230.63 and 272,701.69 is: 434,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,230.63 : 272,701.69 = 272,701.69 : x
  2. Step 2: Convert to fraction form
    171,230.63/272,701.69 = 272,701.69/x
  3. Step 3: Cross multiply
    171,230.63x = 272,701.69 × 272,701.69
  4. Step 4: Simplify right side
    171,230.63x = 74,366,210,365.35
  5. Step 5: Solve for x
    x = 74,366,210,365.35/171,230.63
  6. Step 6: Final answer
    x = 434,304.38

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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.