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Finding the Third Proportional to 149,653.13 and 328,411.13

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Solution

The third proportional to 149,653.13 and 328,411.13 is: 720,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,653.13 : 328,411.13 = 328,411.13 : x
  2. Step 2: Convert to fraction form
    149,653.13/328,411.13 = 328,411.13/x
  3. Step 3: Cross multiply
    149,653.13x = 328,411.13 × 328,411.13
  4. Step 4: Simplify right side
    149,653.13x = 107,853,867,023.77
  5. Step 5: Solve for x
    x = 107,853,867,023.77/149,653.13
  6. Step 6: Final answer
    x = 720,692.38

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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.