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Finding the Third Proportional to 175,070 and 381,816

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Solution

The third proportional to 175,070 and 381,816 is: 832,715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,070 : 381,816 = 381,816 : x
  2. Step 2: Convert to fraction form
    175,070/381,816 = 381,816/x
  3. Step 3: Cross multiply
    175,070x = 381,816 × 381,816
  4. Step 4: Simplify right side
    175,070x = 145,783,457,856
  5. Step 5: Solve for x
    x = 145,783,457,856/175,070
  6. Step 6: Final answer
    x = 832,715.24

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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.