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Finding the Third Proportional to 176,906 and 264,711

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Solution

The third proportional to 176,906 and 264,711 is: 396,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,906 : 264,711 = 264,711 : x
  2. Step 2: Convert to fraction form
    176,906/264,711 = 264,711/x
  3. Step 3: Cross multiply
    176,906x = 264,711 × 264,711
  4. Step 4: Simplify right side
    176,906x = 70,071,913,521
  5. Step 5: Solve for x
    x = 70,071,913,521/176,906
  6. Step 6: Final answer
    x = 396,096.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.