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Finding the Third Proportional to 83,318 and 175,348

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Solution

The third proportional to 83,318 and 175,348 is: 369,030.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,318 : 175,348 = 175,348 : x
  2. Step 2: Convert to fraction form
    83,318/175,348 = 175,348/x
  3. Step 3: Cross multiply
    83,318x = 175,348 × 175,348
  4. Step 4: Simplify right side
    83,318x = 30,746,921,104
  5. Step 5: Solve for x
    x = 30,746,921,104/83,318
  6. Step 6: Final answer
    x = 369,030.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.