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Finding the Third Proportional to 166,970 and 365,776

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Solution

The third proportional to 166,970 and 365,776 is: 801,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,970 : 365,776 = 365,776 : x
  2. Step 2: Convert to fraction form
    166,970/365,776 = 365,776/x
  3. Step 3: Cross multiply
    166,970x = 365,776 × 365,776
  4. Step 4: Simplify right side
    166,970x = 133,792,082,176
  5. Step 5: Solve for x
    x = 133,792,082,176/166,970
  6. Step 6: Final answer
    x = 801,294.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.