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Finding the Third Proportional to 152,878.50 and 324,258

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Solution

The third proportional to 152,878.50 and 324,258 is: 687,756.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,878.50 : 324,258 = 324,258 : x
  2. Step 2: Convert to fraction form
    152,878.50/324,258 = 324,258/x
  3. Step 3: Cross multiply
    152,878.50x = 324,258 × 324,258
  4. Step 4: Simplify right side
    152,878.50x = 105,143,250,564
  5. Step 5: Solve for x
    x = 105,143,250,564/152,878.50
  6. Step 6: Final answer
    x = 687,756.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.