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Finding the Third Proportional to 83,970 and 183,348

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Solution

The third proportional to 83,970 and 183,348 is: 400,339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,970 : 183,348 = 183,348 : x
  2. Step 2: Convert to fraction form
    83,970/183,348 = 183,348/x
  3. Step 3: Cross multiply
    83,970x = 183,348 × 183,348
  4. Step 4: Simplify right side
    83,970x = 33,616,489,104
  5. Step 5: Solve for x
    x = 33,616,489,104/83,970
  6. Step 6: Final answer
    x = 400,339.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.