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Finding the Third Proportional to 171,235.50 and 272,709

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Solution

The third proportional to 171,235.50 and 272,709 is: 434,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,235.50 : 272,709 = 272,709 : x
  2. Step 2: Convert to fraction form
    171,235.50/272,709 = 272,709/x
  3. Step 3: Cross multiply
    171,235.50x = 272,709 × 272,709
  4. Step 4: Simplify right side
    171,235.50x = 74,370,198,681
  5. Step 5: Solve for x
    x = 74,370,198,681/171,235.50
  6. Step 6: Final answer
    x = 434,315.31

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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.