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Finding the Third Proportional to 211,029 and 302,291.50

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Solution

The third proportional to 211,029 and 302,291.50 is: 433,021.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,029 : 302,291.50 = 302,291.50 : x
  2. Step 2: Convert to fraction form
    211,029/302,291.50 = 302,291.50/x
  3. Step 3: Cross multiply
    211,029x = 302,291.50 × 302,291.50
  4. Step 4: Simplify right side
    211,029x = 91,380,150,972.25
  5. Step 5: Solve for x
    x = 91,380,150,972.25/211,029
  6. Step 6: Final answer
    x = 433,021.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.