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Finding the Third Proportional to 191,848 and 297,890

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Solution

The third proportional to 191,848 and 297,890 is: 462,545.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,848 : 297,890 = 297,890 : x
  2. Step 2: Convert to fraction form
    191,848/297,890 = 297,890/x
  3. Step 3: Cross multiply
    191,848x = 297,890 × 297,890
  4. Step 4: Simplify right side
    191,848x = 88,738,452,100
  5. Step 5: Solve for x
    x = 88,738,452,100/191,848
  6. Step 6: Final answer
    x = 462,545.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.