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Finding the Third Proportional to 188,334 and 402,588

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Solution

The third proportional to 188,334 and 402,588 is: 860,583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,334 : 402,588 = 402,588 : x
  2. Step 2: Convert to fraction form
    188,334/402,588 = 402,588/x
  3. Step 3: Cross multiply
    188,334x = 402,588 × 402,588
  4. Step 4: Simplify right side
    188,334x = 162,077,097,744
  5. Step 5: Solve for x
    x = 162,077,097,744/188,334
  6. Step 6: Final answer
    x = 860,583.31

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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.