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Finding the Third Proportional to 135,374 and 293,346

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Solution

The third proportional to 135,374 and 293,346 is: 635,660.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,374 : 293,346 = 293,346 : x
  2. Step 2: Convert to fraction form
    135,374/293,346 = 293,346/x
  3. Step 3: Cross multiply
    135,374x = 293,346 × 293,346
  4. Step 4: Simplify right side
    135,374x = 86,051,875,716
  5. Step 5: Solve for x
    x = 86,051,875,716/135,374
  6. Step 6: Final answer
    x = 635,660.29

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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.