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Finding the Third Proportional to 202,152 and 316,170

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Solution

The third proportional to 202,152 and 316,170 is: 494,496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,152 : 316,170 = 316,170 : x
  2. Step 2: Convert to fraction form
    202,152/316,170 = 316,170/x
  3. Step 3: Cross multiply
    202,152x = 316,170 × 316,170
  4. Step 4: Simplify right side
    202,152x = 99,963,468,900
  5. Step 5: Solve for x
    x = 99,963,468,900/202,152
  6. Step 6: Final answer
    x = 494,496.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.