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Finding the Third Proportional to 176,762 and 384,261

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Solution

The third proportional to 176,762 and 384,261 is: 835,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,762 : 384,261 = 384,261 : x
  2. Step 2: Convert to fraction form
    176,762/384,261 = 384,261/x
  3. Step 3: Cross multiply
    176,762x = 384,261 × 384,261
  4. Step 4: Simplify right side
    176,762x = 147,656,516,121
  5. Step 5: Solve for x
    x = 147,656,516,121/176,762
  6. Step 6: Final answer
    x = 835,340.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.