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Finding the Third Proportional to 216,822.75 and 333,688.50

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Solution

The third proportional to 216,822.75 and 333,688.50 is: 513,543.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,822.75 : 333,688.50 = 333,688.50 : x
  2. Step 2: Convert to fraction form
    216,822.75/333,688.50 = 333,688.50/x
  3. Step 3: Cross multiply
    216,822.75x = 333,688.50 × 333,688.50
  4. Step 4: Simplify right side
    216,822.75x = 111,348,015,032.25
  5. Step 5: Solve for x
    x = 111,348,015,032.25/216,822.75
  6. Step 6: Final answer
    x = 513,543.97

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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.