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Finding the Third Proportional to 241,321 and 317,341.50

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Solution

The third proportional to 241,321 and 317,341.50 is: 417,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,321 : 317,341.50 = 317,341.50 : x
  2. Step 2: Convert to fraction form
    241,321/317,341.50 = 317,341.50/x
  3. Step 3: Cross multiply
    241,321x = 317,341.50 × 317,341.50
  4. Step 4: Simplify right side
    241,321x = 100,705,627,622.25
  5. Step 5: Solve for x
    x = 100,705,627,622.25/241,321
  6. Step 6: Final answer
    x = 417,309.84

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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.