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Finding the Third Proportional to 190,143 and 403,609.50

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Solution

The third proportional to 190,143 and 403,609.50 is: 856,726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,143 : 403,609.50 = 403,609.50 : x
  2. Step 2: Convert to fraction form
    190,143/403,609.50 = 403,609.50/x
  3. Step 3: Cross multiply
    190,143x = 403,609.50 × 403,609.50
  4. Step 4: Simplify right side
    190,143x = 162,900,628,490.25
  5. Step 5: Solve for x
    x = 162,900,628,490.25/190,143
  6. Step 6: Final answer
    x = 856,726.93

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