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Finding the Third Proportional to 190,998 and 402,903

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Solution

The third proportional to 190,998 and 402,903 is: 849,908.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,998 : 402,903 = 402,903 : x
  2. Step 2: Convert to fraction form
    190,998/402,903 = 402,903/x
  3. Step 3: Cross multiply
    190,998x = 402,903 × 402,903
  4. Step 4: Simplify right side
    190,998x = 162,330,827,409
  5. Step 5: Solve for x
    x = 162,330,827,409/190,998
  6. Step 6: Final answer
    x = 849,908.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.