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Finding the Third Proportional to 181,569 and 370,518

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Solution

The third proportional to 181,569 and 370,518 is: 756,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,569 : 370,518 = 370,518 : x
  2. Step 2: Convert to fraction form
    181,569/370,518 = 370,518/x
  3. Step 3: Cross multiply
    181,569x = 370,518 × 370,518
  4. Step 4: Simplify right side
    181,569x = 137,283,588,324
  5. Step 5: Solve for x
    x = 137,283,588,324/181,569
  6. Step 6: Final answer
    x = 756,095.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.