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Finding the Third Proportional to 139,952.25 and 216,146.25

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Solution

The third proportional to 139,952.25 and 216,146.25 is: 333,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,952.25 : 216,146.25 = 216,146.25 : x
  2. Step 2: Convert to fraction form
    139,952.25/216,146.25 = 216,146.25/x
  3. Step 3: Cross multiply
    139,952.25x = 216,146.25 × 216,146.25
  4. Step 4: Simplify right side
    139,952.25x = 46,719,201,389.06
  5. Step 5: Solve for x
    x = 46,719,201,389.06/139,952.25
  6. Step 6: Final answer
    x = 333,822.44

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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.