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Finding the Third Proportional to 148,827.38 and 326,559.94

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Solution

The third proportional to 148,827.38 and 326,559.94 is: 716,544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,827.38 : 326,559.94 = 326,559.94 : x
  2. Step 2: Convert to fraction form
    148,827.38/326,559.94 = 326,559.94/x
  3. Step 3: Cross multiply
    148,827.38x = 326,559.94 × 326,559.94
  4. Step 4: Simplify right side
    148,827.38x = 106,641,392,780.00
  5. Step 5: Solve for x
    x = 106,641,392,780.00/148,827.38
  6. Step 6: Final answer
    x = 716,544.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.