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Finding the Third Proportional to 147,477.38 and 227,735.63

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Solution

The third proportional to 147,477.38 and 227,735.63 is: 351,670.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,477.38 : 227,735.63 = 227,735.63 : x
  2. Step 2: Convert to fraction form
    147,477.38/227,735.63 = 227,735.63/x
  3. Step 3: Cross multiply
    147,477.38x = 227,735.63 × 227,735.63
  4. Step 4: Simplify right side
    147,477.38x = 51,863,514,894.14
  5. Step 5: Solve for x
    x = 51,863,514,894.14/147,477.38
  6. Step 6: Final answer
    x = 351,670.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.