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Finding the Third Proportional to 154,624.50 and 328,203

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Solution

The third proportional to 154,624.50 and 328,203 is: 696,637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,624.50 : 328,203 = 328,203 : x
  2. Step 2: Convert to fraction form
    154,624.50/328,203 = 328,203/x
  3. Step 3: Cross multiply
    154,624.50x = 328,203 × 328,203
  4. Step 4: Simplify right side
    154,624.50x = 107,717,209,209
  5. Step 5: Solve for x
    x = 107,717,209,209/154,624.50
  6. Step 6: Final answer
    x = 696,637.40

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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.