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Finding the Third Proportional to 140,914 and 248,354

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Solution

The third proportional to 140,914 and 248,354 is: 437,711.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,914 : 248,354 = 248,354 : x
  2. Step 2: Convert to fraction form
    140,914/248,354 = 248,354/x
  3. Step 3: Cross multiply
    140,914x = 248,354 × 248,354
  4. Step 4: Simplify right side
    140,914x = 61,679,709,316
  5. Step 5: Solve for x
    x = 61,679,709,316/140,914
  6. Step 6: Final answer
    x = 437,711.72

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.