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Finding the Third Proportional to 146,233.69 and 316,455.56

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Solution

The third proportional to 146,233.69 and 316,455.56 is: 684,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,233.69 : 316,455.56 = 316,455.56 : x
  2. Step 2: Convert to fraction form
    146,233.69/316,455.56 = 316,455.56/x
  3. Step 3: Cross multiply
    146,233.69x = 316,455.56 × 316,455.56
  4. Step 4: Simplify right side
    146,233.69x = 100,144,123,037.19
  5. Step 5: Solve for x
    x = 100,144,123,037.19/146,233.69
  6. Step 6: Final answer
    x = 684,822.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.