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Finding the Third Proportional to 88,628 and 191,341

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Solution

The third proportional to 88,628 and 191,341 is: 413,090.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,628 : 191,341 = 191,341 : x
  2. Step 2: Convert to fraction form
    88,628/191,341 = 191,341/x
  3. Step 3: Cross multiply
    88,628x = 191,341 × 191,341
  4. Step 4: Simplify right side
    88,628x = 36,611,378,281
  5. Step 5: Solve for x
    x = 36,611,378,281/88,628
  6. Step 6: Final answer
    x = 413,090.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.