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Finding the Third Proportional to 112,361.50 and 240,715

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Solution

The third proportional to 112,361.50 and 240,715 is: 515,690.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,361.50 : 240,715 = 240,715 : x
  2. Step 2: Convert to fraction form
    112,361.50/240,715 = 240,715/x
  3. Step 3: Cross multiply
    112,361.50x = 240,715 × 240,715
  4. Step 4: Simplify right side
    112,361.50x = 57,943,711,225
  5. Step 5: Solve for x
    x = 57,943,711,225/112,361.50
  6. Step 6: Final answer
    x = 515,690.08

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Why These Related Problems?

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