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Finding the Third Proportional to 140,732 and 210,396

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Solution

The third proportional to 140,732 and 210,396 is: 314,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,732 : 210,396 = 210,396 : x
  2. Step 2: Convert to fraction form
    140,732/210,396 = 210,396/x
  3. Step 3: Cross multiply
    140,732x = 210,396 × 210,396
  4. Step 4: Simplify right side
    140,732x = 44,266,476,816
  5. Step 5: Solve for x
    x = 44,266,476,816/140,732
  6. Step 6: Final answer
    x = 314,544.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.