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Finding the Third Proportional to 181,805 and 390,595

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Solution

The third proportional to 181,805 and 390,595 is: 839,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,805 : 390,595 = 390,595 : x
  2. Step 2: Convert to fraction form
    181,805/390,595 = 390,595/x
  3. Step 3: Cross multiply
    181,805x = 390,595 × 390,595
  4. Step 4: Simplify right side
    181,805x = 152,564,454,025
  5. Step 5: Solve for x
    x = 152,564,454,025/181,805
  6. Step 6: Final answer
    x = 839,165.34

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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.