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Finding the Third Proportional to 165,576 and 359,955

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Solution

The third proportional to 165,576 and 359,955 is: 782,526.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,576 : 359,955 = 359,955 : x
  2. Step 2: Convert to fraction form
    165,576/359,955 = 359,955/x
  3. Step 3: Cross multiply
    165,576x = 359,955 × 359,955
  4. Step 4: Simplify right side
    165,576x = 129,567,602,025
  5. Step 5: Solve for x
    x = 129,567,602,025/165,576
  6. Step 6: Final answer
    x = 782,526.47

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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.