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Finding the Third Proportional to 229,525.50 and 350,865

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Solution

The third proportional to 229,525.50 and 350,865 is: 536,351.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,525.50 : 350,865 = 350,865 : x
  2. Step 2: Convert to fraction form
    229,525.50/350,865 = 350,865/x
  3. Step 3: Cross multiply
    229,525.50x = 350,865 × 350,865
  4. Step 4: Simplify right side
    229,525.50x = 123,106,248,225
  5. Step 5: Solve for x
    x = 123,106,248,225/229,525.50
  6. Step 6: Final answer
    x = 536,351.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.