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Finding the Third Proportional to 140,245 and 308,527

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Solution

The third proportional to 140,245 and 308,527 is: 678,733.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,245 : 308,527 = 308,527 : x
  2. Step 2: Convert to fraction form
    140,245/308,527 = 308,527/x
  3. Step 3: Cross multiply
    140,245x = 308,527 × 308,527
  4. Step 4: Simplify right side
    140,245x = 95,188,909,729
  5. Step 5: Solve for x
    x = 95,188,909,729/140,245
  6. Step 6: Final answer
    x = 678,733.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.