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Finding the Third Proportional to 112,050 and 234,488

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Solution

The third proportional to 112,050 and 234,488 is: 490,715.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,050 : 234,488 = 234,488 : x
  2. Step 2: Convert to fraction form
    112,050/234,488 = 234,488/x
  3. Step 3: Cross multiply
    112,050x = 234,488 × 234,488
  4. Step 4: Simplify right side
    112,050x = 54,984,622,144
  5. Step 5: Solve for x
    x = 54,984,622,144/112,050
  6. Step 6: Final answer
    x = 490,715.06

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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.