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Finding the Third Proportional to 190,084 and 256,581

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Solution

The third proportional to 190,084 and 256,581 is: 346,340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,084 : 256,581 = 256,581 : x
  2. Step 2: Convert to fraction form
    190,084/256,581 = 256,581/x
  3. Step 3: Cross multiply
    190,084x = 256,581 × 256,581
  4. Step 4: Simplify right side
    190,084x = 65,833,809,561
  5. Step 5: Solve for x
    x = 65,833,809,561/190,084
  6. Step 6: Final answer
    x = 346,340.62

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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.