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Finding the Third Proportional to 142,888 and 304,756

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Solution

The third proportional to 142,888 and 304,756 is: 649,993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,888 : 304,756 = 304,756 : x
  2. Step 2: Convert to fraction form
    142,888/304,756 = 304,756/x
  3. Step 3: Cross multiply
    142,888x = 304,756 × 304,756
  4. Step 4: Simplify right side
    142,888x = 92,876,219,536
  5. Step 5: Solve for x
    x = 92,876,219,536/142,888
  6. Step 6: Final answer
    x = 649,993.14

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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.