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Finding the Third Proportional to 196,274 and 425,740

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Solution

The third proportional to 196,274 and 425,740 is: 923,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,274 : 425,740 = 425,740 : x
  2. Step 2: Convert to fraction form
    196,274/425,740 = 425,740/x
  3. Step 3: Cross multiply
    196,274x = 425,740 × 425,740
  4. Step 4: Simplify right side
    196,274x = 181,254,547,600
  5. Step 5: Solve for x
    x = 181,254,547,600/196,274
  6. Step 6: Final answer
    x = 923,477.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.