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Finding the Third Proportional to 190,722 and 280,248

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Solution

The third proportional to 190,722 and 280,248 is: 411,798.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,722 : 280,248 = 280,248 : x
  2. Step 2: Convert to fraction form
    190,722/280,248 = 280,248/x
  3. Step 3: Cross multiply
    190,722x = 280,248 × 280,248
  4. Step 4: Simplify right side
    190,722x = 78,538,941,504
  5. Step 5: Solve for x
    x = 78,538,941,504/190,722
  6. Step 6: Final answer
    x = 411,798.02

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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.