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Finding the Third Proportional to 113,233 and 243,855

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Solution

The third proportional to 113,233 and 243,855 is: 525,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,233 : 243,855 = 243,855 : x
  2. Step 2: Convert to fraction form
    113,233/243,855 = 243,855/x
  3. Step 3: Cross multiply
    113,233x = 243,855 × 243,855
  4. Step 4: Simplify right side
    113,233x = 59,465,261,025
  5. Step 5: Solve for x
    x = 59,465,261,025/113,233
  6. Step 6: Final answer
    x = 525,158.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.