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Finding the Third Proportional to 237,524 and 368,097

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Solution

The third proportional to 237,524 and 368,097 is: 570,449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,524 : 368,097 = 368,097 : x
  2. Step 2: Convert to fraction form
    237,524/368,097 = 368,097/x
  3. Step 3: Cross multiply
    237,524x = 368,097 × 368,097
  4. Step 4: Simplify right side
    237,524x = 135,495,401,409
  5. Step 5: Solve for x
    x = 135,495,401,409/237,524
  6. Step 6: Final answer
    x = 570,449.31

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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.