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Finding the Third Proportional to 142,534 and 307,162

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Solution

The third proportional to 142,534 and 307,162 is: 661,936.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,534 : 307,162 = 307,162 : x
  2. Step 2: Convert to fraction form
    142,534/307,162 = 307,162/x
  3. Step 3: Cross multiply
    142,534x = 307,162 × 307,162
  4. Step 4: Simplify right side
    142,534x = 94,348,494,244
  5. Step 5: Solve for x
    x = 94,348,494,244/142,534
  6. Step 6: Final answer
    x = 661,936.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.