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Finding the Third Proportional to 176,168 and 310,960

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Solution

The third proportional to 176,168 and 310,960 is: 548,885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,168 : 310,960 = 310,960 : x
  2. Step 2: Convert to fraction form
    176,168/310,960 = 310,960/x
  3. Step 3: Cross multiply
    176,168x = 310,960 × 310,960
  4. Step 4: Simplify right side
    176,168x = 96,696,121,600
  5. Step 5: Solve for x
    x = 96,696,121,600/176,168
  6. Step 6: Final answer
    x = 548,885.85

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.