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Finding the Third Proportional to 196,240 and 310,896

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Solution

The third proportional to 196,240 and 310,896 is: 492,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,240 : 310,896 = 310,896 : x
  2. Step 2: Convert to fraction form
    196,240/310,896 = 310,896/x
  3. Step 3: Cross multiply
    196,240x = 310,896 × 310,896
  4. Step 4: Simplify right side
    196,240x = 96,656,322,816
  5. Step 5: Solve for x
    x = 96,656,322,816/196,240
  6. Step 6: Final answer
    x = 492,541.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.