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Finding the Third Proportional to 181,935 and 382,720.50

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Solution

The third proportional to 181,935 and 382,720.50 is: 805,095.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,935 : 382,720.50 = 382,720.50 : x
  2. Step 2: Convert to fraction form
    181,935/382,720.50 = 382,720.50/x
  3. Step 3: Cross multiply
    181,935x = 382,720.50 × 382,720.50
  4. Step 4: Simplify right side
    181,935x = 146,474,981,120.25
  5. Step 5: Solve for x
    x = 146,474,981,120.25/181,935
  6. Step 6: Final answer
    x = 805,095.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.