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Finding the Third Proportional to 112,633 and 243,855

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Solution

The third proportional to 112,633 and 243,855 is: 527,955.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,633 : 243,855 = 243,855 : x
  2. Step 2: Convert to fraction form
    112,633/243,855 = 243,855/x
  3. Step 3: Cross multiply
    112,633x = 243,855 × 243,855
  4. Step 4: Simplify right side
    112,633x = 59,465,261,025
  5. Step 5: Solve for x
    x = 59,465,261,025/112,633
  6. Step 6: Final answer
    x = 527,955.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.