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Finding the Third Proportional to 242,734 and 525,212

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Solution

The third proportional to 242,734 and 525,212 is: 1,136,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,734 : 525,212 = 525,212 : x
  2. Step 2: Convert to fraction form
    242,734/525,212 = 525,212/x
  3. Step 3: Cross multiply
    242,734x = 525,212 × 525,212
  4. Step 4: Simplify right side
    242,734x = 275,847,644,944
  5. Step 5: Solve for x
    x = 275,847,644,944/242,734
  6. Step 6: Final answer
    x = 1,136,419.48

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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.