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Finding the Third Proportional to 210,828 and 326,095.50

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Solution

The third proportional to 210,828 and 326,095.50 is: 504,384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,828 : 326,095.50 = 326,095.50 : x
  2. Step 2: Convert to fraction form
    210,828/326,095.50 = 326,095.50/x
  3. Step 3: Cross multiply
    210,828x = 326,095.50 × 326,095.50
  4. Step 4: Simplify right side
    210,828x = 106,338,275,120.25
  5. Step 5: Solve for x
    x = 106,338,275,120.25/210,828
  6. Step 6: Final answer
    x = 504,384.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.