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Finding the Third Proportional to 181,173 and 266,431.50

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Solution

The third proportional to 181,173 and 266,431.50 is: 391,811.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,173 : 266,431.50 = 266,431.50 : x
  2. Step 2: Convert to fraction form
    181,173/266,431.50 = 266,431.50/x
  3. Step 3: Cross multiply
    181,173x = 266,431.50 × 266,431.50
  4. Step 4: Simplify right side
    181,173x = 70,985,744,192.25
  5. Step 5: Solve for x
    x = 70,985,744,192.25/181,173
  6. Step 6: Final answer
    x = 391,811.94

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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.