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Finding the Third Proportional to 190,036.13 and 413,149.50

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Solution

The third proportional to 190,036.13 and 413,149.50 is: 898,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,036.13 : 413,149.50 = 413,149.50 : x
  2. Step 2: Convert to fraction form
    190,036.13/413,149.50 = 413,149.50/x
  3. Step 3: Cross multiply
    190,036.13x = 413,149.50 × 413,149.50
  4. Step 4: Simplify right side
    190,036.13x = 170,692,509,350.25
  5. Step 5: Solve for x
    x = 170,692,509,350.25/190,036.13
  6. Step 6: Final answer
    x = 898,210.85

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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.