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Finding the Third Proportional to 183,766 and 294,846

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Solution

The third proportional to 183,766 and 294,846 is: 473,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,766 : 294,846 = 294,846 : x
  2. Step 2: Convert to fraction form
    183,766/294,846 = 294,846/x
  3. Step 3: Cross multiply
    183,766x = 294,846 × 294,846
  4. Step 4: Simplify right side
    183,766x = 86,934,163,716
  5. Step 5: Solve for x
    x = 86,934,163,716/183,766
  6. Step 6: Final answer
    x = 473,069.90

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.