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Finding the Third Proportional to 242,200 and 525,223

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Solution

The third proportional to 242,200 and 525,223 is: 1,138,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,200 : 525,223 = 525,223 : x
  2. Step 2: Convert to fraction form
    242,200/525,223 = 525,223/x
  3. Step 3: Cross multiply
    242,200x = 525,223 × 525,223
  4. Step 4: Simplify right side
    242,200x = 275,859,199,729
  5. Step 5: Solve for x
    x = 275,859,199,729/242,200
  6. Step 6: Final answer
    x = 1,138,972.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.