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Finding the Third Proportional to 194,216 and 423,740

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Solution

The third proportional to 194,216 and 423,740 is: 924,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,216 : 423,740 = 423,740 : x
  2. Step 2: Convert to fraction form
    194,216/423,740 = 423,740/x
  3. Step 3: Cross multiply
    194,216x = 423,740 × 423,740
  4. Step 4: Simplify right side
    194,216x = 179,555,587,600
  5. Step 5: Solve for x
    x = 179,555,587,600/194,216
  6. Step 6: Final answer
    x = 924,514.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.