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Finding the Third Proportional to 107,047 and 230,537

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Solution

The third proportional to 107,047 and 230,537 is: 496,485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,047 : 230,537 = 230,537 : x
  2. Step 2: Convert to fraction form
    107,047/230,537 = 230,537/x
  3. Step 3: Cross multiply
    107,047x = 230,537 × 230,537
  4. Step 4: Simplify right side
    107,047x = 53,147,308,369
  5. Step 5: Solve for x
    x = 53,147,308,369/107,047
  6. Step 6: Final answer
    x = 496,485.73

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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.