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Finding the Third Proportional to 170,704 and 245,888

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Solution

The third proportional to 170,704 and 245,888 is: 354,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,704 : 245,888 = 245,888 : x
  2. Step 2: Convert to fraction form
    170,704/245,888 = 245,888/x
  3. Step 3: Cross multiply
    170,704x = 245,888 × 245,888
  4. Step 4: Simplify right side
    170,704x = 60,460,908,544
  5. Step 5: Solve for x
    x = 60,460,908,544/170,704
  6. Step 6: Final answer
    x = 354,185.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.