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Finding the Third Proportional to 83,346 and 182,358

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Solution

The third proportional to 83,346 and 182,358 is: 398,992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,346 : 182,358 = 182,358 : x
  2. Step 2: Convert to fraction form
    83,346/182,358 = 182,358/x
  3. Step 3: Cross multiply
    83,346x = 182,358 × 182,358
  4. Step 4: Simplify right side
    83,346x = 33,254,440,164
  5. Step 5: Solve for x
    x = 33,254,440,164/83,346
  6. Step 6: Final answer
    x = 398,992.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.