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Finding the Third Proportional to 134,346 and 293,253

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Solution

The third proportional to 134,346 and 293,253 is: 640,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,346 : 293,253 = 293,253 : x
  2. Step 2: Convert to fraction form
    134,346/293,253 = 293,253/x
  3. Step 3: Cross multiply
    134,346x = 293,253 × 293,253
  4. Step 4: Simplify right side
    134,346x = 85,997,322,009
  5. Step 5: Solve for x
    x = 85,997,322,009/134,346
  6. Step 6: Final answer
    x = 640,118.22

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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.