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Finding the Third Proportional to 210,209 and 302,191

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Solution

The third proportional to 210,209 and 302,191 is: 434,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,209 : 302,191 = 302,191 : x
  2. Step 2: Convert to fraction form
    210,209/302,191 = 302,191/x
  3. Step 3: Cross multiply
    210,209x = 302,191 × 302,191
  4. Step 4: Simplify right side
    210,209x = 91,319,400,481
  5. Step 5: Solve for x
    x = 91,319,400,481/210,209
  6. Step 6: Final answer
    x = 434,421.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.