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Finding the Third Proportional to 201,322 and 296,079

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Solution

The third proportional to 201,322 and 296,079 is: 435,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,322 : 296,079 = 296,079 : x
  2. Step 2: Convert to fraction form
    201,322/296,079 = 296,079/x
  3. Step 3: Cross multiply
    201,322x = 296,079 × 296,079
  4. Step 4: Simplify right side
    201,322x = 87,662,774,241
  5. Step 5: Solve for x
    x = 87,662,774,241/201,322
  6. Step 6: Final answer
    x = 435,435.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.