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Finding the Third Proportional to 197,217 and 292,788

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Solution

The third proportional to 197,217 and 292,788 is: 434,672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,217 : 292,788 = 292,788 : x
  2. Step 2: Convert to fraction form
    197,217/292,788 = 292,788/x
  3. Step 3: Cross multiply
    197,217x = 292,788 × 292,788
  4. Step 4: Simplify right side
    197,217x = 85,724,812,944
  5. Step 5: Solve for x
    x = 85,724,812,944/197,217
  6. Step 6: Final answer
    x = 434,672.53

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.