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Finding the Third Proportional to 238,218 and 368,523

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Solution

The third proportional to 238,218 and 368,523 is: 570,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,218 : 368,523 = 368,523 : x
  2. Step 2: Convert to fraction form
    238,218/368,523 = 368,523/x
  3. Step 3: Cross multiply
    238,218x = 368,523 × 368,523
  4. Step 4: Simplify right side
    238,218x = 135,809,201,529
  5. Step 5: Solve for x
    x = 135,809,201,529/238,218
  6. Step 6: Final answer
    x = 570,104.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.