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Finding the Third Proportional to 169,214 and 400,877

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Solution

The third proportional to 169,214 and 400,877 is: 949,699.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,214 : 400,877 = 400,877 : x
  2. Step 2: Convert to fraction form
    169,214/400,877 = 400,877/x
  3. Step 3: Cross multiply
    169,214x = 400,877 × 400,877
  4. Step 4: Simplify right side
    169,214x = 160,702,369,129
  5. Step 5: Solve for x
    x = 160,702,369,129/169,214
  6. Step 6: Final answer
    x = 949,699.02

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.