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Finding the Third Proportional to 181,133 and 266,164

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Solution

The third proportional to 181,133 and 266,164 is: 391,111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,133 : 266,164 = 266,164 : x
  2. Step 2: Convert to fraction form
    181,133/266,164 = 266,164/x
  3. Step 3: Cross multiply
    181,133x = 266,164 × 266,164
  4. Step 4: Simplify right side
    181,133x = 70,843,274,896
  5. Step 5: Solve for x
    x = 70,843,274,896/181,133
  6. Step 6: Final answer
    x = 391,111.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.