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Finding the Third Proportional to 229,210 and 350,403

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Solution

The third proportional to 229,210 and 350,403 is: 535,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,210 : 350,403 = 350,403 : x
  2. Step 2: Convert to fraction form
    229,210/350,403 = 350,403/x
  3. Step 3: Cross multiply
    229,210x = 350,403 × 350,403
  4. Step 4: Simplify right side
    229,210x = 122,782,262,409
  5. Step 5: Solve for x
    x = 122,782,262,409/229,210
  6. Step 6: Final answer
    x = 535,675.85

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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.