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Finding the Third Proportional to 211,266 and 332,005.50

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Solution

The third proportional to 211,266 and 332,005.50 is: 521,748.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,266 : 332,005.50 = 332,005.50 : x
  2. Step 2: Convert to fraction form
    211,266/332,005.50 = 332,005.50/x
  3. Step 3: Cross multiply
    211,266x = 332,005.50 × 332,005.50
  4. Step 4: Simplify right side
    211,266x = 110,227,652,030.25
  5. Step 5: Solve for x
    x = 110,227,652,030.25/211,266
  6. Step 6: Final answer
    x = 521,748.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.