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Finding the Third Proportional to 229,582 and 361,980

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Solution

The third proportional to 229,582 and 361,980 is: 570,730.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,582 : 361,980 = 361,980 : x
  2. Step 2: Convert to fraction form
    229,582/361,980 = 361,980/x
  3. Step 3: Cross multiply
    229,582x = 361,980 × 361,980
  4. Step 4: Simplify right side
    229,582x = 131,029,520,400
  5. Step 5: Solve for x
    x = 131,029,520,400/229,582
  6. Step 6: Final answer
    x = 570,730.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.