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Finding the Third Proportional to 196,810.25 and 313,316.25

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Solution

The third proportional to 196,810.25 and 313,316.25 is: 498,790.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,810.25 : 313,316.25 = 313,316.25 : x
  2. Step 2: Convert to fraction form
    196,810.25/313,316.25 = 313,316.25/x
  3. Step 3: Cross multiply
    196,810.25x = 313,316.25 × 313,316.25
  4. Step 4: Simplify right side
    196,810.25x = 98,167,072,514.06
  5. Step 5: Solve for x
    x = 98,167,072,514.06/196,810.25
  6. Step 6: Final answer
    x = 498,790.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.