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Finding the Third Proportional to 181,057.50 and 266,037

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Solution

The third proportional to 181,057.50 and 266,037 is: 390,901.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,057.50 : 266,037 = 266,037 : x
  2. Step 2: Convert to fraction form
    181,057.50/266,037 = 266,037/x
  3. Step 3: Cross multiply
    181,057.50x = 266,037 × 266,037
  4. Step 4: Simplify right side
    181,057.50x = 70,775,685,369
  5. Step 5: Solve for x
    x = 70,775,685,369/181,057.50
  6. Step 6: Final answer
    x = 390,901.70

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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.