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Finding the Third Proportional to 154,626.75 and 328,207.50

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Solution

The third proportional to 154,626.75 and 328,207.50 is: 696,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,626.75 : 328,207.50 = 328,207.50 : x
  2. Step 2: Convert to fraction form
    154,626.75/328,207.50 = 328,207.50/x
  3. Step 3: Cross multiply
    154,626.75x = 328,207.50 × 328,207.50
  4. Step 4: Simplify right side
    154,626.75x = 107,720,163,056.25
  5. Step 5: Solve for x
    x = 107,720,163,056.25/154,626.75
  6. Step 6: Final answer
    x = 696,646.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.