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Finding the Third Proportional to 205,362 and 441,082.13

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Solution

The third proportional to 205,362 and 441,082.13 is: 947,368.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,362 : 441,082.13 = 441,082.13 : x
  2. Step 2: Convert to fraction form
    205,362/441,082.13 = 441,082.13/x
  3. Step 3: Cross multiply
    205,362x = 441,082.13 × 441,082.13
  4. Step 4: Simplify right side
    205,362x = 194,553,440,994.52
  5. Step 5: Solve for x
    x = 194,553,440,994.52/205,362
  6. Step 6: Final answer
    x = 947,368.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.