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Finding the Third Proportional to 112,407 and 235,206

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Solution

The third proportional to 112,407 and 235,206 is: 492,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,407 : 235,206 = 235,206 : x
  2. Step 2: Convert to fraction form
    112,407/235,206 = 235,206/x
  3. Step 3: Cross multiply
    112,407x = 235,206 × 235,206
  4. Step 4: Simplify right side
    112,407x = 55,321,862,436
  5. Step 5: Solve for x
    x = 55,321,862,436/112,407
  6. Step 6: Final answer
    x = 492,156.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.