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Finding the Third Proportional to 130,940 and 201,380

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Solution

The third proportional to 130,940 and 201,380 is: 309,713.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,940 : 201,380 = 201,380 : x
  2. Step 2: Convert to fraction form
    130,940/201,380 = 201,380/x
  3. Step 3: Cross multiply
    130,940x = 201,380 × 201,380
  4. Step 4: Simplify right side
    130,940x = 40,553,904,400
  5. Step 5: Solve for x
    x = 40,553,904,400/130,940
  6. Step 6: Final answer
    x = 309,713.64

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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.