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Finding the Third Proportional to 142,895.81 and 304,770.94

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Solution

The third proportional to 142,895.81 and 304,770.94 is: 650,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,895.81 : 304,770.94 = 304,770.94 : x
  2. Step 2: Convert to fraction form
    142,895.81/304,770.94 = 304,770.94/x
  3. Step 3: Cross multiply
    142,895.81x = 304,770.94 × 304,770.94
  4. Step 4: Simplify right side
    142,895.81x = 92,885,324,344.63
  5. Step 5: Solve for x
    x = 92,885,324,344.63/142,895.81
  6. Step 6: Final answer
    x = 650,021.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.