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Finding the Third Proportional to 190,766 and 414,702

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Solution

The third proportional to 190,766 and 414,702 is: 901,511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,766 : 414,702 = 414,702 : x
  2. Step 2: Convert to fraction form
    190,766/414,702 = 414,702/x
  3. Step 3: Cross multiply
    190,766x = 414,702 × 414,702
  4. Step 4: Simplify right side
    190,766x = 171,977,748,804
  5. Step 5: Solve for x
    x = 171,977,748,804/190,766
  6. Step 6: Final answer
    x = 901,511.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.