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Finding the Third Proportional to 167,688 and 253,698.75

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Solution

The third proportional to 167,688 and 253,698.75 is: 383,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,688 : 253,698.75 = 253,698.75 : x
  2. Step 2: Convert to fraction form
    167,688/253,698.75 = 253,698.75/x
  3. Step 3: Cross multiply
    167,688x = 253,698.75 × 253,698.75
  4. Step 4: Simplify right side
    167,688x = 64,363,055,751.56
  5. Step 5: Solve for x
    x = 64,363,055,751.56/167,688
  6. Step 6: Final answer
    x = 383,826.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.