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Finding the Third Proportional to 148,232 and 324,143.50

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Solution

The third proportional to 148,232 and 324,143.50 is: 708,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,232 : 324,143.50 = 324,143.50 : x
  2. Step 2: Convert to fraction form
    148,232/324,143.50 = 324,143.50/x
  3. Step 3: Cross multiply
    148,232x = 324,143.50 × 324,143.50
  4. Step 4: Simplify right side
    148,232x = 105,069,008,592.25
  5. Step 5: Solve for x
    x = 105,069,008,592.25/148,232
  6. Step 6: Final answer
    x = 708,814.62

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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.