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Finding the Third Proportional to 147,257 and 222,113

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Solution

The third proportional to 147,257 and 222,113 is: 335,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,257 : 222,113 = 222,113 : x
  2. Step 2: Convert to fraction form
    147,257/222,113 = 222,113/x
  3. Step 3: Cross multiply
    147,257x = 222,113 × 222,113
  4. Step 4: Simplify right side
    147,257x = 49,334,184,769
  5. Step 5: Solve for x
    x = 49,334,184,769/147,257
  6. Step 6: Final answer
    x = 335,020.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.