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Finding the Third Proportional to 210,134.25 and 326,273.06

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Solution

The third proportional to 210,134.25 and 326,273.06 is: 506,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,134.25 : 326,273.06 = 326,273.06 : x
  2. Step 2: Convert to fraction form
    210,134.25/326,273.06 = 326,273.06/x
  3. Step 3: Cross multiply
    210,134.25x = 326,273.06 × 326,273.06
  4. Step 4: Simplify right side
    210,134.25x = 106,454,111,313.13
  5. Step 5: Solve for x
    x = 106,454,111,313.13/210,134.25
  6. Step 6: Final answer
    x = 506,600.48

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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.