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Finding the Third Proportional to 158,585.81 and 229,128.94

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Solution

The third proportional to 158,585.81 and 229,128.94 is: 331,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,585.81 : 229,128.94 = 229,128.94 : x
  2. Step 2: Convert to fraction form
    158,585.81/229,128.94 = 229,128.94/x
  3. Step 3: Cross multiply
    158,585.81x = 229,128.94 × 229,128.94
  4. Step 4: Simplify right side
    158,585.81x = 52,500,069,999.88
  5. Step 5: Solve for x
    x = 52,500,069,999.88/158,585.81
  6. Step 6: Final answer
    x = 331,051.49

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.