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Finding the Third Proportional to 169,406 and 357,602

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Solution

The third proportional to 169,406 and 357,602 is: 754,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,406 : 357,602 = 357,602 : x
  2. Step 2: Convert to fraction form
    169,406/357,602 = 357,602/x
  3. Step 3: Cross multiply
    169,406x = 357,602 × 357,602
  4. Step 4: Simplify right side
    169,406x = 127,879,190,404
  5. Step 5: Solve for x
    x = 127,879,190,404/169,406
  6. Step 6: Final answer
    x = 754,868.13

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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.