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Finding the Third Proportional to 177,321 and 266,158

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Solution

The third proportional to 177,321 and 266,158 is: 399,501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,321 : 266,158 = 266,158 : x
  2. Step 2: Convert to fraction form
    177,321/266,158 = 266,158/x
  3. Step 3: Cross multiply
    177,321x = 266,158 × 266,158
  4. Step 4: Simplify right side
    177,321x = 70,840,080,964
  5. Step 5: Solve for x
    x = 70,840,080,964/177,321
  6. Step 6: Final answer
    x = 399,501.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.