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Finding the Third Proportional to 142,409 and 336,171

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Solution

The third proportional to 142,409 and 336,171 is: 793,566.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,409 : 336,171 = 336,171 : x
  2. Step 2: Convert to fraction form
    142,409/336,171 = 336,171/x
  3. Step 3: Cross multiply
    142,409x = 336,171 × 336,171
  4. Step 4: Simplify right side
    142,409x = 113,010,941,241
  5. Step 5: Solve for x
    x = 113,010,941,241/142,409
  6. Step 6: Final answer
    x = 793,566.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.