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Finding the Third Proportional to 169,398 and 357,588

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Solution

The third proportional to 169,398 and 357,588 is: 754,844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,398 : 357,588 = 357,588 : x
  2. Step 2: Convert to fraction form
    169,398/357,588 = 357,588/x
  3. Step 3: Cross multiply
    169,398x = 357,588 × 357,588
  4. Step 4: Simplify right side
    169,398x = 127,869,177,744
  5. Step 5: Solve for x
    x = 127,869,177,744/169,398
  6. Step 6: Final answer
    x = 754,844.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.