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Finding the Third Proportional to 193,290.75 and 210,813.75

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Solution

The third proportional to 193,290.75 and 210,813.75 is: 229,925.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,290.75 : 210,813.75 = 210,813.75 : x
  2. Step 2: Convert to fraction form
    193,290.75/210,813.75 = 210,813.75/x
  3. Step 3: Cross multiply
    193,290.75x = 210,813.75 × 210,813.75
  4. Step 4: Simplify right side
    193,290.75x = 44,442,437,189.06
  5. Step 5: Solve for x
    x = 44,442,437,189.06/193,290.75
  6. Step 6: Final answer
    x = 229,925.32

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.