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Finding the Third Proportional to 140,056 and 307,322

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Solution

The third proportional to 140,056 and 307,322 is: 674,350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,056 : 307,322 = 307,322 : x
  2. Step 2: Convert to fraction form
    140,056/307,322 = 307,322/x
  3. Step 3: Cross multiply
    140,056x = 307,322 × 307,322
  4. Step 4: Simplify right side
    140,056x = 94,446,811,684
  5. Step 5: Solve for x
    x = 94,446,811,684/140,056
  6. Step 6: Final answer
    x = 674,350.34

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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.