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Finding the Third Proportional to 142,740 and 307,404

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Solution

The third proportional to 142,740 and 307,404 is: 662,023.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,740 : 307,404 = 307,404 : x
  2. Step 2: Convert to fraction form
    142,740/307,404 = 307,404/x
  3. Step 3: Cross multiply
    142,740x = 307,404 × 307,404
  4. Step 4: Simplify right side
    142,740x = 94,497,219,216
  5. Step 5: Solve for x
    x = 94,497,219,216/142,740
  6. Step 6: Final answer
    x = 662,023.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.