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Finding the Third Proportional to 183,836 and 294,950

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Solution

The third proportional to 183,836 and 294,950 is: 473,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,836 : 294,950 = 294,950 : x
  2. Step 2: Convert to fraction form
    183,836/294,950 = 294,950/x
  3. Step 3: Cross multiply
    183,836x = 294,950 × 294,950
  4. Step 4: Simplify right side
    183,836x = 86,995,502,500
  5. Step 5: Solve for x
    x = 86,995,502,500/183,836
  6. Step 6: Final answer
    x = 473,223.43

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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.