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Finding the Third Proportional to 116,665.50 and 249,323.25

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Solution

The third proportional to 116,665.50 and 249,323.25 is: 532,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,665.50 : 249,323.25 = 249,323.25 : x
  2. Step 2: Convert to fraction form
    116,665.50/249,323.25 = 249,323.25/x
  3. Step 3: Cross multiply
    116,665.50x = 249,323.25 × 249,323.25
  4. Step 4: Simplify right side
    116,665.50x = 62,162,082,990.56
  5. Step 5: Solve for x
    x = 62,162,082,990.56/116,665.50
  6. Step 6: Final answer
    x = 532,823.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.