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Finding the Third Proportional to 200,157 and 430,915

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Solution

The third proportional to 200,157 and 430,915 is: 927,710.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,157 : 430,915 = 430,915 : x
  2. Step 2: Convert to fraction form
    200,157/430,915 = 430,915/x
  3. Step 3: Cross multiply
    200,157x = 430,915 × 430,915
  4. Step 4: Simplify right side
    200,157x = 185,687,737,225
  5. Step 5: Solve for x
    x = 185,687,737,225/200,157
  6. Step 6: Final answer
    x = 927,710.43

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Why These Related Problems?

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