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Finding the Third Proportional to 142,207 and 304,098

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Solution

The third proportional to 142,207 and 304,098 is: 650,288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,207 : 304,098 = 304,098 : x
  2. Step 2: Convert to fraction form
    142,207/304,098 = 304,098/x
  3. Step 3: Cross multiply
    142,207x = 304,098 × 304,098
  4. Step 4: Simplify right side
    142,207x = 92,475,593,604
  5. Step 5: Solve for x
    x = 92,475,593,604/142,207
  6. Step 6: Final answer
    x = 650,288.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.