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Finding the Third Proportional to 190,113 and 413,071.50

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Solution

The third proportional to 190,113 and 413,071.50 is: 897,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,113 : 413,071.50 = 413,071.50 : x
  2. Step 2: Convert to fraction form
    190,113/413,071.50 = 413,071.50/x
  3. Step 3: Cross multiply
    190,113x = 413,071.50 × 413,071.50
  4. Step 4: Simplify right side
    190,113x = 170,628,064,112.25
  5. Step 5: Solve for x
    x = 170,628,064,112.25/190,113
  6. Step 6: Final answer
    x = 897,508.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.