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Finding the Third Proportional to 140,216 and 307,648

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Solution

The third proportional to 140,216 and 307,648 is: 675,010.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,216 : 307,648 = 307,648 : x
  2. Step 2: Convert to fraction form
    140,216/307,648 = 307,648/x
  3. Step 3: Cross multiply
    140,216x = 307,648 × 307,648
  4. Step 4: Simplify right side
    140,216x = 94,647,291,904
  5. Step 5: Solve for x
    x = 94,647,291,904/140,216
  6. Step 6: Final answer
    x = 675,010.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.