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Finding the Third Proportional to 221,918.63 and 314,010

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Solution

The third proportional to 221,918.63 and 314,010 is: 444,317.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,918.63 : 314,010 = 314,010 : x
  2. Step 2: Convert to fraction form
    221,918.63/314,010 = 314,010/x
  3. Step 3: Cross multiply
    221,918.63x = 314,010 × 314,010
  4. Step 4: Simplify right side
    221,918.63x = 98,602,280,100
  5. Step 5: Solve for x
    x = 98,602,280,100/221,918.63
  6. Step 6: Final answer
    x = 444,317.28

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.