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Finding the Third Proportional to 175,078 and 381,842

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Solution

The third proportional to 175,078 and 381,842 is: 832,790.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,078 : 381,842 = 381,842 : x
  2. Step 2: Convert to fraction form
    175,078/381,842 = 381,842/x
  3. Step 3: Cross multiply
    175,078x = 381,842 × 381,842
  4. Step 4: Simplify right side
    175,078x = 145,803,312,964
  5. Step 5: Solve for x
    x = 145,803,312,964/175,078
  6. Step 6: Final answer
    x = 832,790.60

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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.