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Finding the Third Proportional to 237,899 and 368,800.50

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Solution

The third proportional to 237,899 and 368,800.50 is: 571,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,899 : 368,800.50 = 368,800.50 : x
  2. Step 2: Convert to fraction form
    237,899/368,800.50 = 368,800.50/x
  3. Step 3: Cross multiply
    237,899x = 368,800.50 × 368,800.50
  4. Step 4: Simplify right side
    237,899x = 136,013,808,800.25
  5. Step 5: Solve for x
    x = 136,013,808,800.25/237,899
  6. Step 6: Final answer
    x = 571,729.22

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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.