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Finding the Third Proportional to 216,942 and 333,673.50

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Solution

The third proportional to 216,942 and 333,673.50 is: 513,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,942 : 333,673.50 = 333,673.50 : x
  2. Step 2: Convert to fraction form
    216,942/333,673.50 = 333,673.50/x
  3. Step 3: Cross multiply
    216,942x = 333,673.50 × 333,673.50
  4. Step 4: Simplify right side
    216,942x = 111,338,004,602.25
  5. Step 5: Solve for x
    x = 111,338,004,602.25/216,942
  6. Step 6: Final answer
    x = 513,215.54

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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.