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Finding the Third Proportional to 176,808 and 363,984

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Solution

The third proportional to 176,808 and 363,984 is: 749,311.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,808 : 363,984 = 363,984 : x
  2. Step 2: Convert to fraction form
    176,808/363,984 = 363,984/x
  3. Step 3: Cross multiply
    176,808x = 363,984 × 363,984
  4. Step 4: Simplify right side
    176,808x = 132,484,352,256
  5. Step 5: Solve for x
    x = 132,484,352,256/176,808
  6. Step 6: Final answer
    x = 749,311.98

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.