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Finding the Third Proportional to 169,883 and 375,973

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Solution

The third proportional to 169,883 and 375,973 is: 832,076.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,883 : 375,973 = 375,973 : x
  2. Step 2: Convert to fraction form
    169,883/375,973 = 375,973/x
  3. Step 3: Cross multiply
    169,883x = 375,973 × 375,973
  4. Step 4: Simplify right side
    169,883x = 141,355,696,729
  5. Step 5: Solve for x
    x = 141,355,696,729/169,883
  6. Step 6: Final answer
    x = 832,076.76

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.