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Finding the Third Proportional to 210,301.31 and 326,252.81

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Solution

The third proportional to 210,301.31 and 326,252.81 is: 506,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,301.31 : 326,252.81 = 326,252.81 : x
  2. Step 2: Convert to fraction form
    210,301.31/326,252.81 = 326,252.81/x
  3. Step 3: Cross multiply
    210,301.31x = 326,252.81 × 326,252.81
  4. Step 4: Simplify right side
    210,301.31x = 106,440,897,664.16
  5. Step 5: Solve for x
    x = 106,440,897,664.16/210,301.31
  6. Step 6: Final answer
    x = 506,135.20

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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.