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Finding the Third Proportional to 112,698.56 and 237,972.38

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Solution

The third proportional to 112,698.56 and 237,972.38 is: 502,498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,698.56 : 237,972.38 = 237,972.38 : x
  2. Step 2: Convert to fraction form
    112,698.56/237,972.38 = 237,972.38/x
  3. Step 3: Cross multiply
    112,698.56x = 237,972.38 × 237,972.38
  4. Step 4: Simplify right side
    112,698.56x = 56,630,851,263.14
  5. Step 5: Solve for x
    x = 56,630,851,263.14/112,698.56
  6. Step 6: Final answer
    x = 502,498.43

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Why These Related Problems?

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