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Finding the Third Proportional to 201,546 and 304,924.50

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Solution

The third proportional to 201,546 and 304,924.50 is: 461,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,546 : 304,924.50 = 304,924.50 : x
  2. Step 2: Convert to fraction form
    201,546/304,924.50 = 304,924.50/x
  3. Step 3: Cross multiply
    201,546x = 304,924.50 × 304,924.50
  4. Step 4: Simplify right side
    201,546x = 92,978,950,700.25
  5. Step 5: Solve for x
    x = 92,978,950,700.25/201,546
  6. Step 6: Final answer
    x = 461,328.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.