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Finding the Third Proportional to 145,636.31 and 196,764.19

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Solution

The third proportional to 145,636.31 and 196,764.19 is: 265,841.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,636.31 : 196,764.19 = 196,764.19 : x
  2. Step 2: Convert to fraction form
    145,636.31/196,764.19 = 196,764.19/x
  3. Step 3: Cross multiply
    145,636.31x = 196,764.19 × 196,764.19
  4. Step 4: Simplify right side
    145,636.31x = 38,716,145,482.54
  5. Step 5: Solve for x
    x = 38,716,145,482.54/145,636.31
  6. Step 6: Final answer
    x = 265,841.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.