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Finding the Third Proportional to 205,141.50 and 301,056

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Solution

The third proportional to 205,141.50 and 301,056 is: 441,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,141.50 : 301,056 = 301,056 : x
  2. Step 2: Convert to fraction form
    205,141.50/301,056 = 301,056/x
  3. Step 3: Cross multiply
    205,141.50x = 301,056 × 301,056
  4. Step 4: Simplify right side
    205,141.50x = 90,634,715,136
  5. Step 5: Solve for x
    x = 90,634,715,136/205,141.50
  6. Step 6: Final answer
    x = 441,815.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.