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Finding the Third Proportional to 176,334 and 369,900

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Solution

The third proportional to 176,334 and 369,900 is: 775,947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,334 : 369,900 = 369,900 : x
  2. Step 2: Convert to fraction form
    176,334/369,900 = 369,900/x
  3. Step 3: Cross multiply
    176,334x = 369,900 × 369,900
  4. Step 4: Simplify right side
    176,334x = 136,826,010,000
  5. Step 5: Solve for x
    x = 136,826,010,000/176,334
  6. Step 6: Final answer
    x = 775,947.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.