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Finding the Third Proportional to 183,360 and 247,392

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Solution

The third proportional to 183,360 and 247,392 is: 333,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,360 : 247,392 = 247,392 : x
  2. Step 2: Convert to fraction form
    183,360/247,392 = 247,392/x
  3. Step 3: Cross multiply
    183,360x = 247,392 × 247,392
  4. Step 4: Simplify right side
    183,360x = 61,202,801,664
  5. Step 5: Solve for x
    x = 61,202,801,664/183,360
  6. Step 6: Final answer
    x = 333,784.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.