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Finding the Third Proportional to 216,577.13 and 333,323.44

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Solution

The third proportional to 216,577.13 and 333,323.44 is: 513,002.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,577.13 : 333,323.44 = 333,323.44 : x
  2. Step 2: Convert to fraction form
    216,577.13/333,323.44 = 333,323.44/x
  3. Step 3: Cross multiply
    216,577.13x = 333,323.44 × 333,323.44
  4. Step 4: Simplify right side
    216,577.13x = 111,104,513,986.82
  5. Step 5: Solve for x
    x = 111,104,513,986.82/216,577.13
  6. Step 6: Final answer
    x = 513,002.07

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