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Finding the Third Proportional to 229,175.58 and 362,808.49

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Solution

The third proportional to 229,175.58 and 362,808.49 is: 574,363.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,175.58 : 362,808.49 = 362,808.49 : x
  2. Step 2: Convert to fraction form
    229,175.58/362,808.49 = 362,808.49/x
  3. Step 3: Cross multiply
    229,175.58x = 362,808.49 × 362,808.49
  4. Step 4: Simplify right side
    229,175.58x = 131,630,002,003.37
  5. Step 5: Solve for x
    x = 131,630,002,003.37/229,175.58
  6. Step 6: Final answer
    x = 574,363.13

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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.