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Finding the Third Proportional to 129,312 and 199,680

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Solution

The third proportional to 129,312 and 199,680 is: 308,340.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,312 : 199,680 = 199,680 : x
  2. Step 2: Convert to fraction form
    129,312/199,680 = 199,680/x
  3. Step 3: Cross multiply
    129,312x = 199,680 × 199,680
  4. Step 4: Simplify right side
    129,312x = 39,872,102,400
  5. Step 5: Solve for x
    x = 39,872,102,400/129,312
  6. Step 6: Final answer
    x = 308,340.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.