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Finding the Third Proportional to 190,316 and 414,526

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Solution

The third proportional to 190,316 and 414,526 is: 902,876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,316 : 414,526 = 414,526 : x
  2. Step 2: Convert to fraction form
    190,316/414,526 = 414,526/x
  3. Step 3: Cross multiply
    190,316x = 414,526 × 414,526
  4. Step 4: Simplify right side
    190,316x = 171,831,804,676
  5. Step 5: Solve for x
    x = 171,831,804,676/190,316
  6. Step 6: Final answer
    x = 902,876.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.