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Finding the Third Proportional to 130,854 and 201,414

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Solution

The third proportional to 130,854 and 201,414 is: 310,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,854 : 201,414 = 201,414 : x
  2. Step 2: Convert to fraction form
    130,854/201,414 = 201,414/x
  3. Step 3: Cross multiply
    130,854x = 201,414 × 201,414
  4. Step 4: Simplify right side
    130,854x = 40,567,599,396
  5. Step 5: Solve for x
    x = 40,567,599,396/130,854
  6. Step 6: Final answer
    x = 310,021.85

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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.