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Finding the Third Proportional to 160,582 and 245,063

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Solution

The third proportional to 160,582 and 245,063 is: 373,988.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,582 : 245,063 = 245,063 : x
  2. Step 2: Convert to fraction form
    160,582/245,063 = 245,063/x
  3. Step 3: Cross multiply
    160,582x = 245,063 × 245,063
  4. Step 4: Simplify right side
    160,582x = 60,055,873,969
  5. Step 5: Solve for x
    x = 60,055,873,969/160,582
  6. Step 6: Final answer
    x = 373,988.83

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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.