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Finding the Third Proportional to 176,703 and 377,220

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Solution

The third proportional to 176,703 and 377,220 is: 805,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,703 : 377,220 = 377,220 : x
  2. Step 2: Convert to fraction form
    176,703/377,220 = 377,220/x
  3. Step 3: Cross multiply
    176,703x = 377,220 × 377,220
  4. Step 4: Simplify right side
    176,703x = 142,294,928,400
  5. Step 5: Solve for x
    x = 142,294,928,400/176,703
  6. Step 6: Final answer
    x = 805,277.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.