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Finding the Third Proportional to 160,907 and 347,106

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Solution

The third proportional to 160,907 and 347,106 is: 748,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,907 : 347,106 = 347,106 : x
  2. Step 2: Convert to fraction form
    160,907/347,106 = 347,106/x
  3. Step 3: Cross multiply
    160,907x = 347,106 × 347,106
  4. Step 4: Simplify right side
    160,907x = 120,482,575,236
  5. Step 5: Solve for x
    x = 120,482,575,236/160,907
  6. Step 6: Final answer
    x = 748,771.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.