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Finding the Third Proportional to 146,417 and 221,471

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Solution

The third proportional to 146,417 and 221,471 is: 334,998.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,417 : 221,471 = 221,471 : x
  2. Step 2: Convert to fraction form
    146,417/221,471 = 221,471/x
  3. Step 3: Cross multiply
    146,417x = 221,471 × 221,471
  4. Step 4: Simplify right side
    146,417x = 49,049,403,841
  5. Step 5: Solve for x
    x = 49,049,403,841/146,417
  6. Step 6: Final answer
    x = 334,998.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.