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Finding the Third Proportional to 149,637 and 328,351

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Solution

The third proportional to 149,637 and 328,351 is: 720,506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,637 : 328,351 = 328,351 : x
  2. Step 2: Convert to fraction form
    149,637/328,351 = 328,351/x
  3. Step 3: Cross multiply
    149,637x = 328,351 × 328,351
  4. Step 4: Simplify right side
    149,637x = 107,814,379,201
  5. Step 5: Solve for x
    x = 107,814,379,201/149,637
  6. Step 6: Final answer
    x = 720,506.15

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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.