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Finding the Third Proportional to 243,108 and 525,096

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Solution

The third proportional to 243,108 and 525,096 is: 1,134,170.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,108 : 525,096 = 525,096 : x
  2. Step 2: Convert to fraction form
    243,108/525,096 = 525,096/x
  3. Step 3: Cross multiply
    243,108x = 525,096 × 525,096
  4. Step 4: Simplify right side
    243,108x = 275,725,809,216
  5. Step 5: Solve for x
    x = 275,725,809,216/243,108
  6. Step 6: Final answer
    x = 1,134,170.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.