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Finding the Third Proportional to 112,409 and 235,210

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Solution

The third proportional to 112,409 and 235,210 is: 492,164.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,409 : 235,210 = 235,210 : x
  2. Step 2: Convert to fraction form
    112,409/235,210 = 235,210/x
  3. Step 3: Cross multiply
    112,409x = 235,210 × 235,210
  4. Step 4: Simplify right side
    112,409x = 55,323,744,100
  5. Step 5: Solve for x
    x = 55,323,744,100/112,409
  6. Step 6: Final answer
    x = 492,164.72

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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.