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Finding the Third Proportional to 145,586 and 222,987

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Solution

The third proportional to 145,586 and 222,987 is: 341,538.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,586 : 222,987 = 222,987 : x
  2. Step 2: Convert to fraction form
    145,586/222,987 = 222,987/x
  3. Step 3: Cross multiply
    145,586x = 222,987 × 222,987
  4. Step 4: Simplify right side
    145,586x = 49,723,202,169
  5. Step 5: Solve for x
    x = 49,723,202,169/145,586
  6. Step 6: Final answer
    x = 341,538.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.