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Finding the Third Proportional to 143,455 and 221,354.50

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Solution

The third proportional to 143,455 and 221,354.50 is: 341,555.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,455 : 221,354.50 = 221,354.50 : x
  2. Step 2: Convert to fraction form
    143,455/221,354.50 = 221,354.50/x
  3. Step 3: Cross multiply
    143,455x = 221,354.50 × 221,354.50
  4. Step 4: Simplify right side
    143,455x = 48,997,814,670.25
  5. Step 5: Solve for x
    x = 48,997,814,670.25/143,455
  6. Step 6: Final answer
    x = 341,555.29

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.