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Finding the Third Proportional to 148,158 and 324,423

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Solution

The third proportional to 148,158 and 324,423 is: 710,392.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,158 : 324,423 = 324,423 : x
  2. Step 2: Convert to fraction form
    148,158/324,423 = 324,423/x
  3. Step 3: Cross multiply
    148,158x = 324,423 × 324,423
  4. Step 4: Simplify right side
    148,158x = 105,250,282,929
  5. Step 5: Solve for x
    x = 105,250,282,929/148,158
  6. Step 6: Final answer
    x = 710,392.17

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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.