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Finding the Third Proportional to 112,642 and 238,224

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Solution

The third proportional to 112,642 and 238,224 is: 503,814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,642 : 238,224 = 238,224 : x
  2. Step 2: Convert to fraction form
    112,642/238,224 = 238,224/x
  3. Step 3: Cross multiply
    112,642x = 238,224 × 238,224
  4. Step 4: Simplify right side
    112,642x = 56,750,674,176
  5. Step 5: Solve for x
    x = 56,750,674,176/112,642
  6. Step 6: Final answer
    x = 503,814.51

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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.