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Finding the Third Proportional to 183,199.75 and 291,422.75

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Solution

The third proportional to 183,199.75 and 291,422.75 is: 463,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,199.75 : 291,422.75 = 291,422.75 : x
  2. Step 2: Convert to fraction form
    183,199.75/291,422.75 = 291,422.75/x
  3. Step 3: Cross multiply
    183,199.75x = 291,422.75 × 291,422.75
  4. Step 4: Simplify right side
    183,199.75x = 84,927,219,217.56
  5. Step 5: Solve for x
    x = 84,927,219,217.56/183,199.75
  6. Step 6: Final answer
    x = 463,577.16

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.