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Finding the Third Proportional to 202,148 and 316,164

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Solution

The third proportional to 202,148 and 316,164 is: 494,487.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,148 : 316,164 = 316,164 : x
  2. Step 2: Convert to fraction form
    202,148/316,164 = 316,164/x
  3. Step 3: Cross multiply
    202,148x = 316,164 × 316,164
  4. Step 4: Simplify right side
    202,148x = 99,959,674,896
  5. Step 5: Solve for x
    x = 99,959,674,896/202,148
  6. Step 6: Final answer
    x = 494,487.58

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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.