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Finding the Third Proportional to 242,192 and 525,208

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Solution

The third proportional to 242,192 and 525,208 is: 1,138,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,192 : 525,208 = 525,208 : x
  2. Step 2: Convert to fraction form
    242,192/525,208 = 525,208/x
  3. Step 3: Cross multiply
    242,192x = 525,208 × 525,208
  4. Step 4: Simplify right side
    242,192x = 275,843,443,264
  5. Step 5: Solve for x
    x = 275,843,443,264/242,192
  6. Step 6: Final answer
    x = 1,138,945.31

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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.