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Finding the Third Proportional to 242,736 and 525,216

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Solution

The third proportional to 242,736 and 525,216 is: 1,136,427.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,736 : 525,216 = 525,216 : x
  2. Step 2: Convert to fraction form
    242,736/525,216 = 525,216/x
  3. Step 3: Cross multiply
    242,736x = 525,216 × 525,216
  4. Step 4: Simplify right side
    242,736x = 275,851,846,656
  5. Step 5: Solve for x
    x = 275,851,846,656/242,736
  6. Step 6: Final answer
    x = 1,136,427.42

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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.