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Finding the Third Proportional to 142,949 and 209,648

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Solution

The third proportional to 142,949 and 209,648 is: 307,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,949 : 209,648 = 209,648 : x
  2. Step 2: Convert to fraction form
    142,949/209,648 = 209,648/x
  3. Step 3: Cross multiply
    142,949x = 209,648 × 209,648
  4. Step 4: Simplify right side
    142,949x = 43,952,283,904
  5. Step 5: Solve for x
    x = 43,952,283,904/142,949
  6. Step 6: Final answer
    x = 307,468.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.