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Finding the Third Proportional to 188,205 and 402,591

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Solution

The third proportional to 188,205 and 402,591 is: 861,186.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,205 : 402,591 = 402,591 : x
  2. Step 2: Convert to fraction form
    188,205/402,591 = 402,591/x
  3. Step 3: Cross multiply
    188,205x = 402,591 × 402,591
  4. Step 4: Simplify right side
    188,205x = 162,079,513,281
  5. Step 5: Solve for x
    x = 162,079,513,281/188,205
  6. Step 6: Final answer
    x = 861,186.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.