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Finding the Third Proportional to 112,564 and 237,800

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Solution

The third proportional to 112,564 and 237,800 is: 502,370.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,564 : 237,800 = 237,800 : x
  2. Step 2: Convert to fraction form
    112,564/237,800 = 237,800/x
  3. Step 3: Cross multiply
    112,564x = 237,800 × 237,800
  4. Step 4: Simplify right side
    112,564x = 56,548,840,000
  5. Step 5: Solve for x
    x = 56,548,840,000/112,564
  6. Step 6: Final answer
    x = 502,370.56

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.