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Finding the Third Proportional to 191,888 and 306,552

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Solution

The third proportional to 191,888 and 306,552 is: 489,734.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,888 : 306,552 = 306,552 : x
  2. Step 2: Convert to fraction form
    191,888/306,552 = 306,552/x
  3. Step 3: Cross multiply
    191,888x = 306,552 × 306,552
  4. Step 4: Simplify right side
    191,888x = 93,974,128,704
  5. Step 5: Solve for x
    x = 93,974,128,704/191,888
  6. Step 6: Final answer
    x = 489,734.27

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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.