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Finding the Third Proportional to 141,392 and 307,662

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Solution

The third proportional to 141,392 and 307,662 is: 669,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,392 : 307,662 = 307,662 : x
  2. Step 2: Convert to fraction form
    141,392/307,662 = 307,662/x
  3. Step 3: Cross multiply
    141,392x = 307,662 × 307,662
  4. Step 4: Simplify right side
    141,392x = 94,655,906,244
  5. Step 5: Solve for x
    x = 94,655,906,244/141,392
  6. Step 6: Final answer
    x = 669,457.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.