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Finding the Third Proportional to 148,488.19 and 323,782.31

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Solution

The third proportional to 148,488.19 and 323,782.31 is: 706,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,488.19 : 323,782.31 = 323,782.31 : x
  2. Step 2: Convert to fraction form
    148,488.19/323,782.31 = 323,782.31/x
  3. Step 3: Cross multiply
    148,488.19x = 323,782.31 × 323,782.31
  4. Step 4: Simplify right side
    148,488.19x = 104,834,985,887.85
  5. Step 5: Solve for x
    x = 104,834,985,887.85/148,488.19
  6. Step 6: Final answer
    x = 706,015.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.