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Finding the Third Proportional to 190,677 and 279,639

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Solution

The third proportional to 190,677 and 279,639 is: 410,106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,677 : 279,639 = 279,639 : x
  2. Step 2: Convert to fraction form
    190,677/279,639 = 279,639/x
  3. Step 3: Cross multiply
    190,677x = 279,639 × 279,639
  4. Step 4: Simplify right side
    190,677x = 78,197,970,321
  5. Step 5: Solve for x
    x = 78,197,970,321/190,677
  6. Step 6: Final answer
    x = 410,106.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.