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Finding the Third Proportional to 221,569.17 and 334,996.38

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Solution

The third proportional to 221,569.17 and 334,996.38 is: 506,490.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,569.17 : 334,996.38 = 334,996.38 : x
  2. Step 2: Convert to fraction form
    221,569.17/334,996.38 = 334,996.38/x
  3. Step 3: Cross multiply
    221,569.17x = 334,996.38 × 334,996.38
  4. Step 4: Simplify right side
    221,569.17x = 112,222,576,497.46
  5. Step 5: Solve for x
    x = 112,222,576,497.46/221,569.17
  6. Step 6: Final answer
    x = 506,490.03

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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.