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Finding the Third Proportional to 147,823 and 324,261

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Solution

The third proportional to 147,823 and 324,261 is: 711,291.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,823 : 324,261 = 324,261 : x
  2. Step 2: Convert to fraction form
    147,823/324,261 = 324,261/x
  3. Step 3: Cross multiply
    147,823x = 324,261 × 324,261
  4. Step 4: Simplify right side
    147,823x = 105,145,196,121
  5. Step 5: Solve for x
    x = 105,145,196,121/147,823
  6. Step 6: Final answer
    x = 711,291.18

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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.