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Finding the Third Proportional to 190,086 and 256,584

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Solution

The third proportional to 190,086 and 256,584 is: 346,345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,086 : 256,584 = 256,584 : x
  2. Step 2: Convert to fraction form
    190,086/256,584 = 256,584/x
  3. Step 3: Cross multiply
    190,086x = 256,584 × 256,584
  4. Step 4: Simplify right side
    190,086x = 65,835,349,056
  5. Step 5: Solve for x
    x = 65,835,349,056/190,086
  6. Step 6: Final answer
    x = 346,345.07

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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.