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Finding the Third Proportional to 174,370 and 266,711

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Solution

The third proportional to 174,370 and 266,711 is: 407,952.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,370 : 266,711 = 266,711 : x
  2. Step 2: Convert to fraction form
    174,370/266,711 = 266,711/x
  3. Step 3: Cross multiply
    174,370x = 266,711 × 266,711
  4. Step 4: Simplify right side
    174,370x = 71,134,757,521
  5. Step 5: Solve for x
    x = 71,134,757,521/174,370
  6. Step 6: Final answer
    x = 407,952.96

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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.