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Finding the Third Proportional to 197,349 and 415,328.25

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Solution

The third proportional to 197,349 and 415,328.25 is: 874,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,349 : 415,328.25 = 415,328.25 : x
  2. Step 2: Convert to fraction form
    197,349/415,328.25 = 415,328.25/x
  3. Step 3: Cross multiply
    197,349x = 415,328.25 × 415,328.25
  4. Step 4: Simplify right side
    197,349x = 172,497,555,248.06
  5. Step 5: Solve for x
    x = 172,497,555,248.06/197,349
  6. Step 6: Final answer
    x = 874,073.62

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.