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Finding the Third Proportional to 181,174 and 388,646

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Solution

The third proportional to 181,174 and 388,646 is: 833,705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,174 : 388,646 = 388,646 : x
  2. Step 2: Convert to fraction form
    181,174/388,646 = 388,646/x
  3. Step 3: Cross multiply
    181,174x = 388,646 × 388,646
  4. Step 4: Simplify right side
    181,174x = 151,045,713,316
  5. Step 5: Solve for x
    x = 151,045,713,316/181,174
  6. Step 6: Final answer
    x = 833,705.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.