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Finding the Third Proportional to 174,176 and 368,896

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Solution

The third proportional to 174,176 and 368,896 is: 781,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,176 : 368,896 = 368,896 : x
  2. Step 2: Convert to fraction form
    174,176/368,896 = 368,896/x
  3. Step 3: Cross multiply
    174,176x = 368,896 × 368,896
  4. Step 4: Simplify right side
    174,176x = 136,084,258,816
  5. Step 5: Solve for x
    x = 136,084,258,816/174,176
  6. Step 6: Final answer
    x = 781,303.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.