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Finding the Third Proportional to 174,561 and 266,914

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Solution

The third proportional to 174,561 and 266,914 is: 408,127.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,561 : 266,914 = 266,914 : x
  2. Step 2: Convert to fraction form
    174,561/266,914 = 266,914/x
  3. Step 3: Cross multiply
    174,561x = 266,914 × 266,914
  4. Step 4: Simplify right side
    174,561x = 71,243,083,396
  5. Step 5: Solve for x
    x = 71,243,083,396/174,561
  6. Step 6: Final answer
    x = 408,127.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.