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Finding the Third Proportional to 181,633.50 and 249,333.50

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Solution

The third proportional to 181,633.50 and 249,333.50 is: 342,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,633.50 : 249,333.50 = 249,333.50 : x
  2. Step 2: Convert to fraction form
    181,633.50/249,333.50 = 249,333.50/x
  3. Step 3: Cross multiply
    181,633.50x = 249,333.50 × 249,333.50
  4. Step 4: Simplify right side
    181,633.50x = 62,167,194,222.25
  5. Step 5: Solve for x
    x = 62,167,194,222.25/181,633.50
  6. Step 6: Final answer
    x = 342,267.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.