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Finding the Third Proportional to 176,283 and 361,953

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Solution

The third proportional to 176,283 and 361,953 is: 743,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,283 : 361,953 = 361,953 : x
  2. Step 2: Convert to fraction form
    176,283/361,953 = 361,953/x
  3. Step 3: Cross multiply
    176,283x = 361,953 × 361,953
  4. Step 4: Simplify right side
    176,283x = 131,009,974,209
  5. Step 5: Solve for x
    x = 131,009,974,209/176,283
  6. Step 6: Final answer
    x = 743,179.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.