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Finding the Third Proportional to 250,220 and 368,710

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Solution

The third proportional to 250,220 and 368,710 is: 543,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,220 : 368,710 = 368,710 : x
  2. Step 2: Convert to fraction form
    250,220/368,710 = 368,710/x
  3. Step 3: Cross multiply
    250,220x = 368,710 × 368,710
  4. Step 4: Simplify right side
    250,220x = 135,947,064,100
  5. Step 5: Solve for x
    x = 135,947,064,100/250,220
  6. Step 6: Final answer
    x = 543,310.14

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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.