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Finding the Third Proportional to 86,350 and 203,547

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Solution

The third proportional to 86,350 and 203,547 is: 479,807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,350 : 203,547 = 203,547 : x
  2. Step 2: Convert to fraction form
    86,350/203,547 = 203,547/x
  3. Step 3: Cross multiply
    86,350x = 203,547 × 203,547
  4. Step 4: Simplify right side
    86,350x = 41,431,381,209
  5. Step 5: Solve for x
    x = 41,431,381,209/86,350
  6. Step 6: Final answer
    x = 479,807.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.