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Finding the Third Proportional to 134,908 and 293,143

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Solution

The third proportional to 134,908 and 293,143 is: 636,973.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,908 : 293,143 = 293,143 : x
  2. Step 2: Convert to fraction form
    134,908/293,143 = 293,143/x
  3. Step 3: Cross multiply
    134,908x = 293,143 × 293,143
  4. Step 4: Simplify right side
    134,908x = 85,932,818,449
  5. Step 5: Solve for x
    x = 85,932,818,449/134,908
  6. Step 6: Final answer
    x = 636,973.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.