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Finding the Third Proportional to 201,968 and 312,716

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Solution

The third proportional to 201,968 and 312,716 is: 484,192.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,968 : 312,716 = 312,716 : x
  2. Step 2: Convert to fraction form
    201,968/312,716 = 312,716/x
  3. Step 3: Cross multiply
    201,968x = 312,716 × 312,716
  4. Step 4: Simplify right side
    201,968x = 97,791,296,656
  5. Step 5: Solve for x
    x = 97,791,296,656/201,968
  6. Step 6: Final answer
    x = 484,192.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.