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Finding the Third Proportional to 205,372 and 305,046

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Solution

The third proportional to 205,372 and 305,046 is: 453,095.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,372 : 305,046 = 305,046 : x
  2. Step 2: Convert to fraction form
    205,372/305,046 = 305,046/x
  3. Step 3: Cross multiply
    205,372x = 305,046 × 305,046
  4. Step 4: Simplify right side
    205,372x = 93,053,062,116
  5. Step 5: Solve for x
    x = 93,053,062,116/205,372
  6. Step 6: Final answer
    x = 453,095.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.