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Finding the Third Proportional to 235,066 and 347,658

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Solution

The third proportional to 235,066 and 347,658 is: 514,179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,066 : 347,658 = 347,658 : x
  2. Step 2: Convert to fraction form
    235,066/347,658 = 347,658/x
  3. Step 3: Cross multiply
    235,066x = 347,658 × 347,658
  4. Step 4: Simplify right side
    235,066x = 120,866,084,964
  5. Step 5: Solve for x
    x = 120,866,084,964/235,066
  6. Step 6: Final answer
    x = 514,179.36

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.