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Finding the Third Proportional to 176,975.75 and 382,125.75

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Solution

The third proportional to 176,975.75 and 382,125.75 is: 825,085.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,975.75 : 382,125.75 = 382,125.75 : x
  2. Step 2: Convert to fraction form
    176,975.75/382,125.75 = 382,125.75/x
  3. Step 3: Cross multiply
    176,975.75x = 382,125.75 × 382,125.75
  4. Step 4: Simplify right side
    176,975.75x = 146,020,088,813.06
  5. Step 5: Solve for x
    x = 146,020,088,813.06/176,975.75
  6. Step 6: Final answer
    x = 825,085.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.