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Finding the Third Proportional to 160,848 and 353,421

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Solution

The third proportional to 160,848 and 353,421 is: 776,549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,848 : 353,421 = 353,421 : x
  2. Step 2: Convert to fraction form
    160,848/353,421 = 353,421/x
  3. Step 3: Cross multiply
    160,848x = 353,421 × 353,421
  4. Step 4: Simplify right side
    160,848x = 124,906,403,241
  5. Step 5: Solve for x
    x = 124,906,403,241/160,848
  6. Step 6: Final answer
    x = 776,549.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.