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Finding the Third Proportional to 85,437 and 186,958

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Solution

The third proportional to 85,437 and 186,958 is: 409,111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,437 : 186,958 = 186,958 : x
  2. Step 2: Convert to fraction form
    85,437/186,958 = 186,958/x
  3. Step 3: Cross multiply
    85,437x = 186,958 × 186,958
  4. Step 4: Simplify right side
    85,437x = 34,953,293,764
  5. Step 5: Solve for x
    x = 34,953,293,764/85,437
  6. Step 6: Final answer
    x = 409,111.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.