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Finding the Third Proportional to 129,368 and 196,240

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Solution

The third proportional to 129,368 and 196,240 is: 297,679.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,368 : 196,240 = 196,240 : x
  2. Step 2: Convert to fraction form
    129,368/196,240 = 196,240/x
  3. Step 3: Cross multiply
    129,368x = 196,240 × 196,240
  4. Step 4: Simplify right side
    129,368x = 38,510,137,600
  5. Step 5: Solve for x
    x = 38,510,137,600/129,368
  6. Step 6: Final answer
    x = 297,679.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.