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Finding the Third Proportional to 194,779.69 and 249,112.97

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Solution

The third proportional to 194,779.69 and 249,112.97 is: 318,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,779.69 : 249,112.97 = 249,112.97 : x
  2. Step 2: Convert to fraction form
    194,779.69/249,112.97 = 249,112.97/x
  3. Step 3: Cross multiply
    194,779.69x = 249,112.97 × 249,112.97
  4. Step 4: Simplify right side
    194,779.69x = 62,057,271,199.44
  5. Step 5: Solve for x
    x = 62,057,271,199.44/194,779.69
  6. Step 6: Final answer
    x = 318,602.38

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.