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Finding the Third Proportional to 190,387.50 and 413,599.50

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Solution

The third proportional to 190,387.50 and 413,599.50 is: 898,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,387.50 : 413,599.50 = 413,599.50 : x
  2. Step 2: Convert to fraction form
    190,387.50/413,599.50 = 413,599.50/x
  3. Step 3: Cross multiply
    190,387.50x = 413,599.50 × 413,599.50
  4. Step 4: Simplify right side
    190,387.50x = 171,064,546,400.25
  5. Step 5: Solve for x
    x = 171,064,546,400.25/190,387.50
  6. Step 6: Final answer
    x = 898,507.24

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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.