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Finding the Third Proportional to 173,785 and 379,501

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Solution

The third proportional to 173,785 and 379,501 is: 828,730.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,785 : 379,501 = 379,501 : x
  2. Step 2: Convert to fraction form
    173,785/379,501 = 379,501/x
  3. Step 3: Cross multiply
    173,785x = 379,501 × 379,501
  4. Step 4: Simplify right side
    173,785x = 144,021,009,001
  5. Step 5: Solve for x
    x = 144,021,009,001/173,785
  6. Step 6: Final answer
    x = 828,730.95

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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.