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Finding the Third Proportional to 167,875 and 360,596

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Solution

The third proportional to 167,875 and 360,596 is: 774,561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,875 : 360,596 = 360,596 : x
  2. Step 2: Convert to fraction form
    167,875/360,596 = 360,596/x
  3. Step 3: Cross multiply
    167,875x = 360,596 × 360,596
  4. Step 4: Simplify right side
    167,875x = 130,029,475,216
  5. Step 5: Solve for x
    x = 130,029,475,216/167,875
  6. Step 6: Final answer
    x = 774,561.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.