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Finding the Third Proportional to 190,318.50 and 413,433

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Solution

The third proportional to 190,318.50 and 413,433 is: 898,109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,318.50 : 413,433 = 413,433 : x
  2. Step 2: Convert to fraction form
    190,318.50/413,433 = 413,433/x
  3. Step 3: Cross multiply
    190,318.50x = 413,433 × 413,433
  4. Step 4: Simplify right side
    190,318.50x = 170,926,845,489
  5. Step 5: Solve for x
    x = 170,926,845,489/190,318.50
  6. Step 6: Final answer
    x = 898,109.46

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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.