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Finding the Third Proportional to 145,650 and 222,707

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Solution

The third proportional to 145,650 and 222,707 is: 340,531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,650 : 222,707 = 222,707 : x
  2. Step 2: Convert to fraction form
    145,650/222,707 = 222,707/x
  3. Step 3: Cross multiply
    145,650x = 222,707 × 222,707
  4. Step 4: Simplify right side
    145,650x = 49,598,407,849
  5. Step 5: Solve for x
    x = 49,598,407,849/145,650
  6. Step 6: Final answer
    x = 340,531.46

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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.