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Finding the Third Proportional to 193,113 and 288,573.75

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Solution

The third proportional to 193,113 and 288,573.75 is: 431,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,113 : 288,573.75 = 288,573.75 : x
  2. Step 2: Convert to fraction form
    193,113/288,573.75 = 288,573.75/x
  3. Step 3: Cross multiply
    193,113x = 288,573.75 × 288,573.75
  4. Step 4: Simplify right side
    193,113x = 83,274,809,189.06
  5. Step 5: Solve for x
    x = 83,274,809,189.06/193,113
  6. Step 6: Final answer
    x = 431,223.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.