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Finding the Third Proportional to 160,522 and 245,057

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Solution

The third proportional to 160,522 and 245,057 is: 374,110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,522 : 245,057 = 245,057 : x
  2. Step 2: Convert to fraction form
    160,522/245,057 = 245,057/x
  3. Step 3: Cross multiply
    160,522x = 245,057 × 245,057
  4. Step 4: Simplify right side
    160,522x = 60,052,933,249
  5. Step 5: Solve for x
    x = 60,052,933,249/160,522
  6. Step 6: Final answer
    x = 374,110.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.