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Finding the Third Proportional to 170,040 and 369,888

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Solution

The third proportional to 170,040 and 369,888 is: 804,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,040 : 369,888 = 369,888 : x
  2. Step 2: Convert to fraction form
    170,040/369,888 = 369,888/x
  3. Step 3: Cross multiply
    170,040x = 369,888 × 369,888
  4. Step 4: Simplify right side
    170,040x = 136,817,132,544
  5. Step 5: Solve for x
    x = 136,817,132,544/170,040
  6. Step 6: Final answer
    x = 804,617.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.