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Finding the Third Proportional to 199,441 and 430,188.50

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Solution

The third proportional to 199,441 and 430,188.50 is: 927,904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,441 : 430,188.50 = 430,188.50 : x
  2. Step 2: Convert to fraction form
    199,441/430,188.50 = 430,188.50/x
  3. Step 3: Cross multiply
    199,441x = 430,188.50 × 430,188.50
  4. Step 4: Simplify right side
    199,441x = 185,062,145,532.25
  5. Step 5: Solve for x
    x = 185,062,145,532.25/199,441
  6. Step 6: Final answer
    x = 927,904.22

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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.