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Finding the Third Proportional to 216,544.50 and 333,270

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Solution

The third proportional to 216,544.50 and 333,270 is: 512,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,544.50 : 333,270 = 333,270 : x
  2. Step 2: Convert to fraction form
    216,544.50/333,270 = 333,270/x
  3. Step 3: Cross multiply
    216,544.50x = 333,270 × 333,270
  4. Step 4: Simplify right side
    216,544.50x = 111,068,892,900
  5. Step 5: Solve for x
    x = 111,068,892,900/216,544.50
  6. Step 6: Final answer
    x = 512,914.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.