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Finding the Third Proportional to 142,602 and 304,302

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Solution

The third proportional to 142,602 and 304,302 is: 649,357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,602 : 304,302 = 304,302 : x
  2. Step 2: Convert to fraction form
    142,602/304,302 = 304,302/x
  3. Step 3: Cross multiply
    142,602x = 304,302 × 304,302
  4. Step 4: Simplify right side
    142,602x = 92,599,707,204
  5. Step 5: Solve for x
    x = 92,599,707,204/142,602
  6. Step 6: Final answer
    x = 649,357.70

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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.