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Finding the Third Proportional to 237,961 and 368,461.50

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Solution

The third proportional to 237,961 and 368,461.50 is: 570,529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,961 : 368,461.50 = 368,461.50 : x
  2. Step 2: Convert to fraction form
    237,961/368,461.50 = 368,461.50/x
  3. Step 3: Cross multiply
    237,961x = 368,461.50 × 368,461.50
  4. Step 4: Simplify right side
    237,961x = 135,763,876,982.25
  5. Step 5: Solve for x
    x = 135,763,876,982.25/237,961
  6. Step 6: Final answer
    x = 570,529.95

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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.