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Finding the Third Proportional to 281,101.50 and 369,063

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Solution

The third proportional to 281,101.50 and 369,063 is: 484,549.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,101.50 : 369,063 = 369,063 : x
  2. Step 2: Convert to fraction form
    281,101.50/369,063 = 369,063/x
  3. Step 3: Cross multiply
    281,101.50x = 369,063 × 369,063
  4. Step 4: Simplify right side
    281,101.50x = 136,207,497,969
  5. Step 5: Solve for x
    x = 136,207,497,969/281,101.50
  6. Step 6: Final answer
    x = 484,549.17

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.