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Finding the Third Proportional to 86,457 and 201,938

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Solution

The third proportional to 86,457 and 201,938 is: 471,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,457 : 201,938 = 201,938 : x
  2. Step 2: Convert to fraction form
    86,457/201,938 = 201,938/x
  3. Step 3: Cross multiply
    86,457x = 201,938 × 201,938
  4. Step 4: Simplify right side
    86,457x = 40,778,955,844
  5. Step 5: Solve for x
    x = 40,778,955,844/86,457
  6. Step 6: Final answer
    x = 471,667.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.