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Finding the Third Proportional to 216,553.50 and 333,283.50

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Solution

The third proportional to 216,553.50 and 333,283.50 is: 512,935.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,553.50 : 333,283.50 = 333,283.50 : x
  2. Step 2: Convert to fraction form
    216,553.50/333,283.50 = 333,283.50/x
  3. Step 3: Cross multiply
    216,553.50x = 333,283.50 × 333,283.50
  4. Step 4: Simplify right side
    216,553.50x = 111,077,891,372.25
  5. Step 5: Solve for x
    x = 111,077,891,372.25/216,553.50
  6. Step 6: Final answer
    x = 512,935.10

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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.