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Finding the Third Proportional to 134,946.75 and 290,653.13

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Solution

The third proportional to 134,946.75 and 290,653.13 is: 626,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,946.75 : 290,653.13 = 290,653.13 : x
  2. Step 2: Convert to fraction form
    134,946.75/290,653.13 = 290,653.13/x
  3. Step 3: Cross multiply
    134,946.75x = 290,653.13 × 290,653.13
  4. Step 4: Simplify right side
    134,946.75x = 84,479,239,072.27
  5. Step 5: Solve for x
    x = 84,479,239,072.27/134,946.75
  6. Step 6: Final answer
    x = 626,019.07

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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.