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Finding the Third Proportional to 165,710.81 and 262,814.63

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Solution

The third proportional to 165,710.81 and 262,814.63 is: 416,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,710.81 : 262,814.63 = 262,814.63 : x
  2. Step 2: Convert to fraction form
    165,710.81/262,814.63 = 262,814.63/x
  3. Step 3: Cross multiply
    165,710.81x = 262,814.63 × 262,814.63
  4. Step 4: Simplify right side
    165,710.81x = 69,071,527,113.89
  5. Step 5: Solve for x
    x = 69,071,527,113.89/165,710.81
  6. Step 6: Final answer
    x = 416,819.68

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.