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Finding the Third Proportional to 112,284 and 242,586

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Solution

The third proportional to 112,284 and 242,586 is: 524,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,284 : 242,586 = 242,586 : x
  2. Step 2: Convert to fraction form
    112,284/242,586 = 242,586/x
  3. Step 3: Cross multiply
    112,284x = 242,586 × 242,586
  4. Step 4: Simplify right side
    112,284x = 58,847,967,396
  5. Step 5: Solve for x
    x = 58,847,967,396/112,284
  6. Step 6: Final answer
    x = 524,099.31

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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.