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Finding the Third Proportional to 146,206.50 and 183,018

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Solution

The third proportional to 146,206.50 and 183,018 is: 229,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,206.50 : 183,018 = 183,018 : x
  2. Step 2: Convert to fraction form
    146,206.50/183,018 = 183,018/x
  3. Step 3: Cross multiply
    146,206.50x = 183,018 × 183,018
  4. Step 4: Simplify right side
    146,206.50x = 33,495,588,324
  5. Step 5: Solve for x
    x = 33,495,588,324/146,206.50
  6. Step 6: Final answer
    x = 229,097.81

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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.