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Finding the Third Proportional to 183,348 and 378,117

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Solution

The third proportional to 183,348 and 378,117 is: 779,787.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,348 : 378,117 = 378,117 : x
  2. Step 2: Convert to fraction form
    183,348/378,117 = 378,117/x
  3. Step 3: Cross multiply
    183,348x = 378,117 × 378,117
  4. Step 4: Simplify right side
    183,348x = 142,972,465,689
  5. Step 5: Solve for x
    x = 142,972,465,689/183,348
  6. Step 6: Final answer
    x = 779,787.43

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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.