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Finding the Third Proportional to 149,343 and 322,437

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Solution

The third proportional to 149,343 and 322,437 is: 696,153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,343 : 322,437 = 322,437 : x
  2. Step 2: Convert to fraction form
    149,343/322,437 = 322,437/x
  3. Step 3: Cross multiply
    149,343x = 322,437 × 322,437
  4. Step 4: Simplify right side
    149,343x = 103,965,618,969
  5. Step 5: Solve for x
    x = 103,965,618,969/149,343
  6. Step 6: Final answer
    x = 696,153.28

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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.