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Finding the Third Proportional to 112,184 and 237,028

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Solution

The third proportional to 112,184 and 237,028 is: 500,804.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,184 : 237,028 = 237,028 : x
  2. Step 2: Convert to fraction form
    112,184/237,028 = 237,028/x
  3. Step 3: Cross multiply
    112,184x = 237,028 × 237,028
  4. Step 4: Simplify right side
    112,184x = 56,182,272,784
  5. Step 5: Solve for x
    x = 56,182,272,784/112,184
  6. Step 6: Final answer
    x = 500,804.69

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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.