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Finding the Third Proportional to 140,192 and 308,423

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Solution

The third proportional to 140,192 and 308,423 is: 678,531.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,192 : 308,423 = 308,423 : x
  2. Step 2: Convert to fraction form
    140,192/308,423 = 308,423/x
  3. Step 3: Cross multiply
    140,192x = 308,423 × 308,423
  4. Step 4: Simplify right side
    140,192x = 95,124,746,929
  5. Step 5: Solve for x
    x = 95,124,746,929/140,192
  6. Step 6: Final answer
    x = 678,531.92

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