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Finding the Third Proportional to 183,360 and 378,138

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Solution

The third proportional to 183,360 and 378,138 is: 779,823.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,360 : 378,138 = 378,138 : x
  2. Step 2: Convert to fraction form
    183,360/378,138 = 378,138/x
  3. Step 3: Cross multiply
    183,360x = 378,138 × 378,138
  4. Step 4: Simplify right side
    183,360x = 142,988,347,044
  5. Step 5: Solve for x
    x = 142,988,347,044/183,360
  6. Step 6: Final answer
    x = 779,823.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.