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Finding the Third Proportional to 191,892 and 306,558

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Solution

The third proportional to 191,892 and 306,558 is: 489,743.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,892 : 306,558 = 306,558 : x
  2. Step 2: Convert to fraction form
    191,892/306,558 = 306,558/x
  3. Step 3: Cross multiply
    191,892x = 306,558 × 306,558
  4. Step 4: Simplify right side
    191,892x = 93,977,807,364
  5. Step 5: Solve for x
    x = 93,977,807,364/191,892
  6. Step 6: Final answer
    x = 489,743.23

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.