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Finding the Third Proportional to 117,166.50 and 249,054.75

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Solution

The third proportional to 117,166.50 and 249,054.75 is: 529,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,166.50 : 249,054.75 = 249,054.75 : x
  2. Step 2: Convert to fraction form
    117,166.50/249,054.75 = 249,054.75/x
  3. Step 3: Cross multiply
    117,166.50x = 249,054.75 × 249,054.75
  4. Step 4: Simplify right side
    117,166.50x = 62,028,268,497.56
  5. Step 5: Solve for x
    x = 62,028,268,497.56/117,166.50
  6. Step 6: Final answer
    x = 529,402.76

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.