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Finding the Third Proportional to 185,045.63 and 398,900.25

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Solution

The third proportional to 185,045.63 and 398,900.25 is: 859,903.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,045.63 : 398,900.25 = 398,900.25 : x
  2. Step 2: Convert to fraction form
    185,045.63/398,900.25 = 398,900.25/x
  3. Step 3: Cross multiply
    185,045.63x = 398,900.25 × 398,900.25
  4. Step 4: Simplify right side
    185,045.63x = 159,121,409,450.06
  5. Step 5: Solve for x
    x = 159,121,409,450.06/185,045.63
  6. Step 6: Final answer
    x = 859,903.66

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Why These Related Problems?

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