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Finding the Third Proportional to 151,026 and 322,772

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Solution

The third proportional to 151,026 and 322,772 is: 689,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,026 : 322,772 = 322,772 : x
  2. Step 2: Convert to fraction form
    151,026/322,772 = 322,772/x
  3. Step 3: Cross multiply
    151,026x = 322,772 × 322,772
  4. Step 4: Simplify right side
    151,026x = 104,181,763,984
  5. Step 5: Solve for x
    x = 104,181,763,984/151,026
  6. Step 6: Final answer
    x = 689,826.68

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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.