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Finding the Third Proportional to 181,178 and 388,654

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Solution

The third proportional to 181,178 and 388,654 is: 833,721.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,178 : 388,654 = 388,654 : x
  2. Step 2: Convert to fraction form
    181,178/388,654 = 388,654/x
  3. Step 3: Cross multiply
    181,178x = 388,654 × 388,654
  4. Step 4: Simplify right side
    181,178x = 151,051,931,716
  5. Step 5: Solve for x
    x = 151,051,931,716/181,178
  6. Step 6: Final answer
    x = 833,721.16

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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.