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Finding the Third Proportional to 149,616 and 328,752

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Solution

The third proportional to 149,616 and 328,752 is: 722,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,616 : 328,752 = 328,752 : x
  2. Step 2: Convert to fraction form
    149,616/328,752 = 328,752/x
  3. Step 3: Cross multiply
    149,616x = 328,752 × 328,752
  4. Step 4: Simplify right side
    149,616x = 108,077,877,504
  5. Step 5: Solve for x
    x = 108,077,877,504/149,616
  6. Step 6: Final answer
    x = 722,368.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.