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Finding the Third Proportional to 210,301.50 and 456,096

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Solution

The third proportional to 210,301.50 and 456,096 is: 989,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,301.50 : 456,096 = 456,096 : x
  2. Step 2: Convert to fraction form
    210,301.50/456,096 = 456,096/x
  3. Step 3: Cross multiply
    210,301.50x = 456,096 × 456,096
  4. Step 4: Simplify right side
    210,301.50x = 208,023,561,216
  5. Step 5: Solve for x
    x = 208,023,561,216/210,301.50
  6. Step 6: Final answer
    x = 989,168.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.