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Finding the Third Proportional to 212,006 and 430,164

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Solution

The third proportional to 212,006 and 430,164 is: 872,810.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,006 : 430,164 = 430,164 : x
  2. Step 2: Convert to fraction form
    212,006/430,164 = 430,164/x
  3. Step 3: Cross multiply
    212,006x = 430,164 × 430,164
  4. Step 4: Simplify right side
    212,006x = 185,041,066,896
  5. Step 5: Solve for x
    x = 185,041,066,896/212,006
  6. Step 6: Final answer
    x = 872,810.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.