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Finding the Third Proportional to 142,426 and 303,913

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Solution

The third proportional to 142,426 and 303,913 is: 648,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,426 : 303,913 = 303,913 : x
  2. Step 2: Convert to fraction form
    142,426/303,913 = 303,913/x
  3. Step 3: Cross multiply
    142,426x = 303,913 × 303,913
  4. Step 4: Simplify right side
    142,426x = 92,363,111,569
  5. Step 5: Solve for x
    x = 92,363,111,569/142,426
  6. Step 6: Final answer
    x = 648,498.95

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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.