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Finding the Third Proportional to 185,216.63 and 398,047.50

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Solution

The third proportional to 185,216.63 and 398,047.50 is: 855,440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,216.63 : 398,047.50 = 398,047.50 : x
  2. Step 2: Convert to fraction form
    185,216.63/398,047.50 = 398,047.50/x
  3. Step 3: Cross multiply
    185,216.63x = 398,047.50 × 398,047.50
  4. Step 4: Simplify right side
    185,216.63x = 158,441,812,256.25
  5. Step 5: Solve for x
    x = 158,441,812,256.25/185,216.63
  6. Step 6: Final answer
    x = 855,440.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.