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Finding the Third Proportional to 157,773 and 322,908

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Solution

The third proportional to 157,773 and 322,908 is: 660,883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,773 : 322,908 = 322,908 : x
  2. Step 2: Convert to fraction form
    157,773/322,908 = 322,908/x
  3. Step 3: Cross multiply
    157,773x = 322,908 × 322,908
  4. Step 4: Simplify right side
    157,773x = 104,269,576,464
  5. Step 5: Solve for x
    x = 104,269,576,464/157,773
  6. Step 6: Final answer
    x = 660,883.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.