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Finding the Third Proportional to 129,346 and 193,222

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Solution

The third proportional to 129,346 and 193,222 is: 288,642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,346 : 193,222 = 193,222 : x
  2. Step 2: Convert to fraction form
    129,346/193,222 = 193,222/x
  3. Step 3: Cross multiply
    129,346x = 193,222 × 193,222
  4. Step 4: Simplify right side
    129,346x = 37,334,741,284
  5. Step 5: Solve for x
    x = 37,334,741,284/129,346
  6. Step 6: Final answer
    x = 288,642.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.