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Finding the Third Proportional to 229,698.75 and 368,763

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Solution

The third proportional to 229,698.75 and 368,763 is: 592,019.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,698.75 : 368,763 = 368,763 : x
  2. Step 2: Convert to fraction form
    229,698.75/368,763 = 368,763/x
  3. Step 3: Cross multiply
    229,698.75x = 368,763 × 368,763
  4. Step 4: Simplify right side
    229,698.75x = 135,986,150,169
  5. Step 5: Solve for x
    x = 135,986,150,169/229,698.75
  6. Step 6: Final answer
    x = 592,019.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.