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Finding the Third Proportional to 177,320 and 266,159

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Solution

The third proportional to 177,320 and 266,159 is: 399,507.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,320 : 266,159 = 266,159 : x
  2. Step 2: Convert to fraction form
    177,320/266,159 = 266,159/x
  3. Step 3: Cross multiply
    177,320x = 266,159 × 266,159
  4. Step 4: Simplify right side
    177,320x = 70,840,613,281
  5. Step 5: Solve for x
    x = 70,840,613,281/177,320
  6. Step 6: Final answer
    x = 399,507.18

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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.