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Finding the Third Proportional to 229,629 and 362,051

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Solution

The third proportional to 229,629 and 362,051 is: 570,837.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,629 : 362,051 = 362,051 : x
  2. Step 2: Convert to fraction form
    229,629/362,051 = 362,051/x
  3. Step 3: Cross multiply
    229,629x = 362,051 × 362,051
  4. Step 4: Simplify right side
    229,629x = 131,080,926,601
  5. Step 5: Solve for x
    x = 131,080,926,601/229,629
  6. Step 6: Final answer
    x = 570,837.86

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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.