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Finding the Third Proportional to 190,254 and 409,941.38

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Solution

The third proportional to 190,254 and 409,941.38 is: 883,303.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,254 : 409,941.38 = 409,941.38 : x
  2. Step 2: Convert to fraction form
    190,254/409,941.38 = 409,941.38/x
  3. Step 3: Cross multiply
    190,254x = 409,941.38 × 409,941.38
  4. Step 4: Simplify right side
    190,254x = 168,051,930,936.89
  5. Step 5: Solve for x
    x = 168,051,930,936.89/190,254
  6. Step 6: Final answer
    x = 883,303.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.