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Finding the Third Proportional to 107,346.50 and 231,437

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Solution

The third proportional to 107,346.50 and 231,437 is: 498,973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,346.50 : 231,437 = 231,437 : x
  2. Step 2: Convert to fraction form
    107,346.50/231,437 = 231,437/x
  3. Step 3: Cross multiply
    107,346.50x = 231,437 × 231,437
  4. Step 4: Simplify right side
    107,346.50x = 53,563,084,969
  5. Step 5: Solve for x
    x = 53,563,084,969/107,346.50
  6. Step 6: Final answer
    x = 498,973.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.