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Finding the Third Proportional to 196,189 and 310,867.50

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Solution

The third proportional to 196,189 and 310,867.50 is: 492,579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,189 : 310,867.50 = 310,867.50 : x
  2. Step 2: Convert to fraction form
    196,189/310,867.50 = 310,867.50/x
  3. Step 3: Cross multiply
    196,189x = 310,867.50 × 310,867.50
  4. Step 4: Simplify right side
    196,189x = 96,638,602,556.25
  5. Step 5: Solve for x
    x = 96,638,602,556.25/196,189
  6. Step 6: Final answer
    x = 492,579.11

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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.