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Finding the Third Proportional to 112,383 and 239,068.50

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Solution

The third proportional to 112,383 and 239,068.50 is: 508,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,383 : 239,068.50 = 239,068.50 : x
  2. Step 2: Convert to fraction form
    112,383/239,068.50 = 239,068.50/x
  3. Step 3: Cross multiply
    112,383x = 239,068.50 × 239,068.50
  4. Step 4: Simplify right side
    112,383x = 57,153,747,692.25
  5. Step 5: Solve for x
    x = 57,153,747,692.25/112,383
  6. Step 6: Final answer
    x = 508,562.22

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.