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Finding the Third Proportional to 185,202 and 280,385

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Solution

The third proportional to 185,202 and 280,385 is: 424,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,202 : 280,385 = 280,385 : x
  2. Step 2: Convert to fraction form
    185,202/280,385 = 280,385/x
  3. Step 3: Cross multiply
    185,202x = 280,385 × 280,385
  4. Step 4: Simplify right side
    185,202x = 78,615,748,225
  5. Step 5: Solve for x
    x = 78,615,748,225/185,202
  6. Step 6: Final answer
    x = 424,486.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.