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Finding the Third Proportional to 183,468 and 277,050

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Solution

The third proportional to 183,468 and 277,050 is: 418,365.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,468 : 277,050 = 277,050 : x
  2. Step 2: Convert to fraction form
    183,468/277,050 = 277,050/x
  3. Step 3: Cross multiply
    183,468x = 277,050 × 277,050
  4. Step 4: Simplify right side
    183,468x = 76,756,702,500
  5. Step 5: Solve for x
    x = 76,756,702,500/183,468
  6. Step 6: Final answer
    x = 418,365.61

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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.