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Finding the Third Proportional to 176,802 and 381,840

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Solution

The third proportional to 176,802 and 381,840 is: 824,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,802 : 381,840 = 381,840 : x
  2. Step 2: Convert to fraction form
    176,802/381,840 = 381,840/x
  3. Step 3: Cross multiply
    176,802x = 381,840 × 381,840
  4. Step 4: Simplify right side
    176,802x = 145,801,785,600
  5. Step 5: Solve for x
    x = 145,801,785,600/176,802
  6. Step 6: Final answer
    x = 824,661.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.