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Finding the Third Proportional to 112,616 and 242,688

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Solution

The third proportional to 112,616 and 242,688 is: 522,993.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,616 : 242,688 = 242,688 : x
  2. Step 2: Convert to fraction form
    112,616/242,688 = 242,688/x
  3. Step 3: Cross multiply
    112,616x = 242,688 × 242,688
  4. Step 4: Simplify right side
    112,616x = 58,897,465,344
  5. Step 5: Solve for x
    x = 58,897,465,344/112,616
  6. Step 6: Final answer
    x = 522,993.76

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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.