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Finding the Third Proportional to 149,398 and 322,564

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Solution

The third proportional to 149,398 and 322,564 is: 696,445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,398 : 322,564 = 322,564 : x
  2. Step 2: Convert to fraction form
    149,398/322,564 = 322,564/x
  3. Step 3: Cross multiply
    149,398x = 322,564 × 322,564
  4. Step 4: Simplify right side
    149,398x = 104,047,534,096
  5. Step 5: Solve for x
    x = 104,047,534,096/149,398
  6. Step 6: Final answer
    x = 696,445.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.