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Finding the Third Proportional to 241,311 and 317,326.50

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Solution

The third proportional to 241,311 and 317,326.50 is: 417,287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,311 : 317,326.50 = 317,326.50 : x
  2. Step 2: Convert to fraction form
    241,311/317,326.50 = 317,326.50/x
  3. Step 3: Cross multiply
    241,311x = 317,326.50 × 317,326.50
  4. Step 4: Simplify right side
    241,311x = 100,696,107,602.25
  5. Step 5: Solve for x
    x = 100,696,107,602.25/241,311
  6. Step 6: Final answer
    x = 417,287.68

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.