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Finding the Third Proportional to 150,656 and 221,376

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Solution

The third proportional to 150,656 and 221,376 is: 325,292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,656 : 221,376 = 221,376 : x
  2. Step 2: Convert to fraction form
    150,656/221,376 = 221,376/x
  3. Step 3: Cross multiply
    150,656x = 221,376 × 221,376
  4. Step 4: Simplify right side
    150,656x = 49,007,333,376
  5. Step 5: Solve for x
    x = 49,007,333,376/150,656
  6. Step 6: Final answer
    x = 325,292.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.