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Finding the Third Proportional to 190,079 and 256,574

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Solution

The third proportional to 190,079 and 256,574 is: 346,330.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,079 : 256,574 = 256,574 : x
  2. Step 2: Convert to fraction form
    190,079/256,574 = 256,574/x
  3. Step 3: Cross multiply
    190,079x = 256,574 × 256,574
  4. Step 4: Simplify right side
    190,079x = 65,830,217,476
  5. Step 5: Solve for x
    x = 65,830,217,476/190,079
  6. Step 6: Final answer
    x = 346,330.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.