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Finding the Third Proportional to 164,036.25 and 237,062.25

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Solution

The third proportional to 164,036.25 and 237,062.25 is: 342,598.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,036.25 : 237,062.25 = 237,062.25 : x
  2. Step 2: Convert to fraction form
    164,036.25/237,062.25 = 237,062.25/x
  3. Step 3: Cross multiply
    164,036.25x = 237,062.25 × 237,062.25
  4. Step 4: Simplify right side
    164,036.25x = 56,198,510,375.06
  5. Step 5: Solve for x
    x = 56,198,510,375.06/164,036.25
  6. Step 6: Final answer
    x = 342,598.12

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.