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Finding the Third Proportional to 230,125.50 and 502,087.50

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Solution

The third proportional to 230,125.50 and 502,087.50 is: 1,095,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,125.50 : 502,087.50 = 502,087.50 : x
  2. Step 2: Convert to fraction form
    230,125.50/502,087.50 = 502,087.50/x
  3. Step 3: Cross multiply
    230,125.50x = 502,087.50 × 502,087.50
  4. Step 4: Simplify right side
    230,125.50x = 252,091,857,656.25
  5. Step 5: Solve for x
    x = 252,091,857,656.25/230,125.50
  6. Step 6: Final answer
    x = 1,095,453.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.