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Finding the Third Proportional to 168,322 and 366,776

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Solution

The third proportional to 168,322 and 366,776 is: 799,210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,322 : 366,776 = 366,776 : x
  2. Step 2: Convert to fraction form
    168,322/366,776 = 366,776/x
  3. Step 3: Cross multiply
    168,322x = 366,776 × 366,776
  4. Step 4: Simplify right side
    168,322x = 134,524,634,176
  5. Step 5: Solve for x
    x = 134,524,634,176/168,322
  6. Step 6: Final answer
    x = 799,210.05

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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.