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Finding the Third Proportional to 165,674 and 359,347

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Solution

The third proportional to 165,674 and 359,347 is: 779,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,674 : 359,347 = 359,347 : x
  2. Step 2: Convert to fraction form
    165,674/359,347 = 359,347/x
  3. Step 3: Cross multiply
    165,674x = 359,347 × 359,347
  4. Step 4: Simplify right side
    165,674x = 129,130,266,409
  5. Step 5: Solve for x
    x = 129,130,266,409/165,674
  6. Step 6: Final answer
    x = 779,423.85

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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.