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Finding the Third Proportional to 140,202 and 304,068

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Solution

The third proportional to 140,202 and 304,068 is: 659,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,202 : 304,068 = 304,068 : x
  2. Step 2: Convert to fraction form
    140,202/304,068 = 304,068/x
  3. Step 3: Cross multiply
    140,202x = 304,068 × 304,068
  4. Step 4: Simplify right side
    140,202x = 92,457,348,624
  5. Step 5: Solve for x
    x = 92,457,348,624/140,202
  6. Step 6: Final answer
    x = 659,458.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.