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Finding the Third Proportional to 229,429.50 and 503,175

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Solution

The third proportional to 229,429.50 and 503,175 is: 1,103,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,429.50 : 503,175 = 503,175 : x
  2. Step 2: Convert to fraction form
    229,429.50/503,175 = 503,175/x
  3. Step 3: Cross multiply
    229,429.50x = 503,175 × 503,175
  4. Step 4: Simplify right side
    229,429.50x = 253,185,080,625
  5. Step 5: Solve for x
    x = 253,185,080,625/229,429.50
  6. Step 6: Final answer
    x = 1,103,541.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.