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Finding the Third Proportional to 190,107 and 403,555.50

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Solution

The third proportional to 190,107 and 403,555.50 is: 856,659.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,107 : 403,555.50 = 403,555.50 : x
  2. Step 2: Convert to fraction form
    190,107/403,555.50 = 403,555.50/x
  3. Step 3: Cross multiply
    190,107x = 403,555.50 × 403,555.50
  4. Step 4: Simplify right side
    190,107x = 162,857,041,580.25
  5. Step 5: Solve for x
    x = 162,857,041,580.25/190,107
  6. Step 6: Final answer
    x = 856,659.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.