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Finding the Third Proportional to 113,886 and 242,433

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Solution

The third proportional to 113,886 and 242,433 is: 516,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,886 : 242,433 = 242,433 : x
  2. Step 2: Convert to fraction form
    113,886/242,433 = 242,433/x
  3. Step 3: Cross multiply
    113,886x = 242,433 × 242,433
  4. Step 4: Simplify right side
    113,886x = 58,773,759,489
  5. Step 5: Solve for x
    x = 58,773,759,489/113,886
  6. Step 6: Final answer
    x = 516,075.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.