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Finding the Third Proportional to 175,064 and 381,804

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Solution

The third proportional to 175,064 and 381,804 is: 832,691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,064 : 381,804 = 381,804 : x
  2. Step 2: Convert to fraction form
    175,064/381,804 = 381,804/x
  3. Step 3: Cross multiply
    175,064x = 381,804 × 381,804
  4. Step 4: Simplify right side
    175,064x = 145,774,294,416
  5. Step 5: Solve for x
    x = 145,774,294,416/175,064
  6. Step 6: Final answer
    x = 832,691.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.