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Finding the Third Proportional to 157,038 and 322,392

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Solution

The third proportional to 157,038 and 322,392 is: 661,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,038 : 322,392 = 322,392 : x
  2. Step 2: Convert to fraction form
    157,038/322,392 = 322,392/x
  3. Step 3: Cross multiply
    157,038x = 322,392 × 322,392
  4. Step 4: Simplify right side
    157,038x = 103,936,601,664
  5. Step 5: Solve for x
    x = 103,936,601,664/157,038
  6. Step 6: Final answer
    x = 661,856.38

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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.