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Finding the Third Proportional to 221,304 and 335,298

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Solution

The third proportional to 221,304 and 335,298 is: 508,010.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,304 : 335,298 = 335,298 : x
  2. Step 2: Convert to fraction form
    221,304/335,298 = 335,298/x
  3. Step 3: Cross multiply
    221,304x = 335,298 × 335,298
  4. Step 4: Simplify right side
    221,304x = 112,424,748,804
  5. Step 5: Solve for x
    x = 112,424,748,804/221,304
  6. Step 6: Final answer
    x = 508,010.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.