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Finding the Third Proportional to 107,220 and 231,047

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Solution

The third proportional to 107,220 and 231,047 is: 497,880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,220 : 231,047 = 231,047 : x
  2. Step 2: Convert to fraction form
    107,220/231,047 = 231,047/x
  3. Step 3: Cross multiply
    107,220x = 231,047 × 231,047
  4. Step 4: Simplify right side
    107,220x = 53,382,716,209
  5. Step 5: Solve for x
    x = 53,382,716,209/107,220
  6. Step 6: Final answer
    x = 497,880.21

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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.