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Finding the Third Proportional to 158,306 and 333,015

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Solution

The third proportional to 158,306 and 333,015 is: 700,535.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,306 : 333,015 = 333,015 : x
  2. Step 2: Convert to fraction form
    158,306/333,015 = 333,015/x
  3. Step 3: Cross multiply
    158,306x = 333,015 × 333,015
  4. Step 4: Simplify right side
    158,306x = 110,898,990,225
  5. Step 5: Solve for x
    x = 110,898,990,225/158,306
  6. Step 6: Final answer
    x = 700,535.61

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.