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Finding the Third Proportional to 248,416 and 536,192

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Solution

The third proportional to 248,416 and 536,192 is: 1,157,340.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,416 : 536,192 = 536,192 : x
  2. Step 2: Convert to fraction form
    248,416/536,192 = 536,192/x
  3. Step 3: Cross multiply
    248,416x = 536,192 × 536,192
  4. Step 4: Simplify right side
    248,416x = 287,501,860,864
  5. Step 5: Solve for x
    x = 287,501,860,864/248,416
  6. Step 6: Final answer
    x = 1,157,340.35

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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.