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Finding the Third Proportional to 144,119 and 229,009.25

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Solution

The third proportional to 144,119 and 229,009.25 is: 363,902.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,119 : 229,009.25 = 229,009.25 : x
  2. Step 2: Convert to fraction form
    144,119/229,009.25 = 229,009.25/x
  3. Step 3: Cross multiply
    144,119x = 229,009.25 × 229,009.25
  4. Step 4: Simplify right side
    144,119x = 52,445,236,585.56
  5. Step 5: Solve for x
    x = 52,445,236,585.56/144,119
  6. Step 6: Final answer
    x = 363,902.31

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.