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Finding the Third Proportional to 281,070 and 369,022.50

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Solution

The third proportional to 281,070 and 369,022.50 is: 484,497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,070 : 369,022.50 = 369,022.50 : x
  2. Step 2: Convert to fraction form
    281,070/369,022.50 = 369,022.50/x
  3. Step 3: Cross multiply
    281,070x = 369,022.50 × 369,022.50
  4. Step 4: Simplify right side
    281,070x = 136,177,605,506.25
  5. Step 5: Solve for x
    x = 136,177,605,506.25/281,070
  6. Step 6: Final answer
    x = 484,497.12

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