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Finding the Third Proportional to 112,701.38 and 237,978

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Solution

The third proportional to 112,701.38 and 237,978 is: 502,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,701.38 : 237,978 = 237,978 : x
  2. Step 2: Convert to fraction form
    112,701.38/237,978 = 237,978/x
  3. Step 3: Cross multiply
    112,701.38x = 237,978 × 237,978
  4. Step 4: Simplify right side
    112,701.38x = 56,633,528,484
  5. Step 5: Solve for x
    x = 56,633,528,484/112,701.38
  6. Step 6: Final answer
    x = 502,509.65

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.