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Finding the Third Proportional to 156,926 and 335,396

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Solution

The third proportional to 156,926 and 335,396 is: 716,837.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,926 : 335,396 = 335,396 : x
  2. Step 2: Convert to fraction form
    156,926/335,396 = 335,396/x
  3. Step 3: Cross multiply
    156,926x = 335,396 × 335,396
  4. Step 4: Simplify right side
    156,926x = 112,490,476,816
  5. Step 5: Solve for x
    x = 112,490,476,816/156,926
  6. Step 6: Final answer
    x = 716,837.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.