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Finding the Third Proportional to 210,089 and 302,011

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Solution

The third proportional to 210,089 and 302,011 is: 434,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,089 : 302,011 = 302,011 : x
  2. Step 2: Convert to fraction form
    210,089/302,011 = 302,011/x
  3. Step 3: Cross multiply
    210,089x = 302,011 × 302,011
  4. Step 4: Simplify right side
    210,089x = 91,210,644,121
  5. Step 5: Solve for x
    x = 91,210,644,121/210,089
  6. Step 6: Final answer
    x = 434,152.40

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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.