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Finding the Third Proportional to 107,376 and 233,205

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Solution

The third proportional to 107,376 and 233,205 is: 506,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,376 : 233,205 = 233,205 : x
  2. Step 2: Convert to fraction form
    107,376/233,205 = 233,205/x
  3. Step 3: Cross multiply
    107,376x = 233,205 × 233,205
  4. Step 4: Simplify right side
    107,376x = 54,384,572,025
  5. Step 5: Solve for x
    x = 54,384,572,025/107,376
  6. Step 6: Final answer
    x = 506,487.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.