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Finding the Third Proportional to 171,358.50 and 266,787

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Solution

The third proportional to 171,358.50 and 266,787 is: 415,359.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,358.50 : 266,787 = 266,787 : x
  2. Step 2: Convert to fraction form
    171,358.50/266,787 = 266,787/x
  3. Step 3: Cross multiply
    171,358.50x = 266,787 × 266,787
  4. Step 4: Simplify right side
    171,358.50x = 71,175,303,369
  5. Step 5: Solve for x
    x = 71,175,303,369/171,358.50
  6. Step 6: Final answer
    x = 415,359.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.