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Finding the Third Proportional to 148,184 and 324,475

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Solution

The third proportional to 148,184 and 324,475 is: 710,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,184 : 324,475 = 324,475 : x
  2. Step 2: Convert to fraction form
    148,184/324,475 = 324,475/x
  3. Step 3: Cross multiply
    148,184x = 324,475 × 324,475
  4. Step 4: Simplify right side
    148,184x = 105,284,025,625
  5. Step 5: Solve for x
    x = 105,284,025,625/148,184
  6. Step 6: Final answer
    x = 710,495.23

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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.