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Finding the Third Proportional to 194,796 and 477,130.50

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Solution

The third proportional to 194,796 and 477,130.50 is: 1,168,676.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,796 : 477,130.50 = 477,130.50 : x
  2. Step 2: Convert to fraction form
    194,796/477,130.50 = 477,130.50/x
  3. Step 3: Cross multiply
    194,796x = 477,130.50 × 477,130.50
  4. Step 4: Simplify right side
    194,796x = 227,653,514,030.25
  5. Step 5: Solve for x
    x = 227,653,514,030.25/194,796
  6. Step 6: Final answer
    x = 1,168,676.53

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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.