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Finding the Third Proportional to 149,636 and 328,352

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Solution

The third proportional to 149,636 and 328,352 is: 720,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,636 : 328,352 = 328,352 : x
  2. Step 2: Convert to fraction form
    149,636/328,352 = 328,352/x
  3. Step 3: Cross multiply
    149,636x = 328,352 × 328,352
  4. Step 4: Simplify right side
    149,636x = 107,815,035,904
  5. Step 5: Solve for x
    x = 107,815,035,904/149,636
  6. Step 6: Final answer
    x = 720,515.36

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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.