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Finding the Third Proportional to 288,087.75 and 436,095

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Solution

The third proportional to 288,087.75 and 436,095 is: 660,142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,087.75 : 436,095 = 436,095 : x
  2. Step 2: Convert to fraction form
    288,087.75/436,095 = 436,095/x
  3. Step 3: Cross multiply
    288,087.75x = 436,095 × 436,095
  4. Step 4: Simplify right side
    288,087.75x = 190,178,849,025
  5. Step 5: Solve for x
    x = 190,178,849,025/288,087.75
  6. Step 6: Final answer
    x = 660,142.09

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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.