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Finding the Third Proportional to 183,444 and 277,014

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Solution

The third proportional to 183,444 and 277,014 is: 418,311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,444 : 277,014 = 277,014 : x
  2. Step 2: Convert to fraction form
    183,444/277,014 = 277,014/x
  3. Step 3: Cross multiply
    183,444x = 277,014 × 277,014
  4. Step 4: Simplify right side
    183,444x = 76,736,756,196
  5. Step 5: Solve for x
    x = 76,736,756,196/183,444
  6. Step 6: Final answer
    x = 418,311.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.