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Finding the Third Proportional to 235,301.63 and 360,014.63

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Solution

The third proportional to 235,301.63 and 360,014.63 is: 550,827.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,301.63 : 360,014.63 = 360,014.63 : x
  2. Step 2: Convert to fraction form
    235,301.63/360,014.63 = 360,014.63/x
  3. Step 3: Cross multiply
    235,301.63x = 360,014.63 × 360,014.63
  4. Step 4: Simplify right side
    235,301.63x = 129,610,530,213.89
  5. Step 5: Solve for x
    x = 129,610,530,213.89/235,301.63
  6. Step 6: Final answer
    x = 550,827.18

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.