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Finding the Third Proportional to 118,047 and 252,938

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Solution

The third proportional to 118,047 and 252,938 is: 541,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,047 : 252,938 = 252,938 : x
  2. Step 2: Convert to fraction form
    118,047/252,938 = 252,938/x
  3. Step 3: Cross multiply
    118,047x = 252,938 × 252,938
  4. Step 4: Simplify right side
    118,047x = 63,977,631,844
  5. Step 5: Solve for x
    x = 63,977,631,844/118,047
  6. Step 6: Final answer
    x = 541,967.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.