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Finding the Third Proportional to 220,645.69 and 340,953.75

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Solution

The third proportional to 220,645.69 and 340,953.75 is: 526,860.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,645.69 : 340,953.75 = 340,953.75 : x
  2. Step 2: Convert to fraction form
    220,645.69/340,953.75 = 340,953.75/x
  3. Step 3: Cross multiply
    220,645.69x = 340,953.75 × 340,953.75
  4. Step 4: Simplify right side
    220,645.69x = 116,249,459,639.06
  5. Step 5: Solve for x
    x = 116,249,459,639.06/220,645.69
  6. Step 6: Final answer
    x = 526,860.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.