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Finding the Third Proportional to 141,656 and 207,380

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Solution

The third proportional to 141,656 and 207,380 is: 303,597.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,656 : 207,380 = 207,380 : x
  2. Step 2: Convert to fraction form
    141,656/207,380 = 207,380/x
  3. Step 3: Cross multiply
    141,656x = 207,380 × 207,380
  4. Step 4: Simplify right side
    141,656x = 43,006,464,400
  5. Step 5: Solve for x
    x = 43,006,464,400/141,656
  6. Step 6: Final answer
    x = 303,597.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.