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Finding the Third Proportional to 146,944 and 322,032

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Solution

The third proportional to 146,944 and 322,032 is: 705,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,944 : 322,032 = 322,032 : x
  2. Step 2: Convert to fraction form
    146,944/322,032 = 322,032/x
  3. Step 3: Cross multiply
    146,944x = 322,032 × 322,032
  4. Step 4: Simplify right side
    146,944x = 103,704,609,024
  5. Step 5: Solve for x
    x = 103,704,609,024/146,944
  6. Step 6: Final answer
    x = 705,742.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.