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Finding the Third Proportional to 189,507 and 408,390

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Solution

The third proportional to 189,507 and 408,390 is: 880,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,507 : 408,390 = 408,390 : x
  2. Step 2: Convert to fraction form
    189,507/408,390 = 408,390/x
  3. Step 3: Cross multiply
    189,507x = 408,390 × 408,390
  4. Step 4: Simplify right side
    189,507x = 166,782,392,100
  5. Step 5: Solve for x
    x = 166,782,392,100/189,507
  6. Step 6: Final answer
    x = 880,085.65

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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.