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Finding the Third Proportional to 231,735.94 and 358,630.03

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Solution

The third proportional to 231,735.94 and 358,630.03 is: 555,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,735.94 : 358,630.03 = 358,630.03 : x
  2. Step 2: Convert to fraction form
    231,735.94/358,630.03 = 358,630.03/x
  3. Step 3: Cross multiply
    231,735.94x = 358,630.03 × 358,630.03
  4. Step 4: Simplify right side
    231,735.94x = 128,615,499,314.38
  5. Step 5: Solve for x
    x = 128,615,499,314.38/231,735.94
  6. Step 6: Final answer
    x = 555,008.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.