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Finding the Third Proportional to 238,314 and 368,666

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Solution

The third proportional to 238,314 and 368,666 is: 570,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,314 : 368,666 = 368,666 : x
  2. Step 2: Convert to fraction form
    238,314/368,666 = 368,666/x
  3. Step 3: Cross multiply
    238,314x = 368,666 × 368,666
  4. Step 4: Simplify right side
    238,314x = 135,914,619,556
  5. Step 5: Solve for x
    x = 135,914,619,556/238,314
  6. Step 6: Final answer
    x = 570,317.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.