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Finding the Third Proportional to 112,409 and 235,203.50

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Solution

The third proportional to 112,409 and 235,203.50 is: 492,137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,409 : 235,203.50 = 235,203.50 : x
  2. Step 2: Convert to fraction form
    112,409/235,203.50 = 235,203.50/x
  3. Step 3: Cross multiply
    112,409x = 235,203.50 × 235,203.50
  4. Step 4: Simplify right side
    112,409x = 55,320,686,412.25
  5. Step 5: Solve for x
    x = 55,320,686,412.25/112,409
  6. Step 6: Final answer
    x = 492,137.52

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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.