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Finding the Third Proportional to 190,548 and 410,220

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Solution

The third proportional to 190,548 and 410,220 is: 883,139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,548 : 410,220 = 410,220 : x
  2. Step 2: Convert to fraction form
    190,548/410,220 = 410,220/x
  3. Step 3: Cross multiply
    190,548x = 410,220 × 410,220
  4. Step 4: Simplify right side
    190,548x = 168,280,448,400
  5. Step 5: Solve for x
    x = 168,280,448,400/190,548
  6. Step 6: Final answer
    x = 883,139.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.