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Finding the Third Proportional to 140,192 and 307,525.50

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Solution

The third proportional to 140,192 and 307,525.50 is: 674,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,192 : 307,525.50 = 307,525.50 : x
  2. Step 2: Convert to fraction form
    140,192/307,525.50 = 307,525.50/x
  3. Step 3: Cross multiply
    140,192x = 307,525.50 × 307,525.50
  4. Step 4: Simplify right side
    140,192x = 94,571,933,150.25
  5. Step 5: Solve for x
    x = 94,571,933,150.25/140,192
  6. Step 6: Final answer
    x = 674,588.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.