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Finding the Third Proportional to 112,422.50 and 240,783.50

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Solution

The third proportional to 112,422.50 and 240,783.50 is: 515,703.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,422.50 : 240,783.50 = 240,783.50 : x
  2. Step 2: Convert to fraction form
    112,422.50/240,783.50 = 240,783.50/x
  3. Step 3: Cross multiply
    112,422.50x = 240,783.50 × 240,783.50
  4. Step 4: Simplify right side
    112,422.50x = 57,976,693,872.25
  5. Step 5: Solve for x
    x = 57,976,693,872.25/112,422.50
  6. Step 6: Final answer
    x = 515,703.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.