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Finding the Third Proportional to 176,326 and 416,169

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Solution

The third proportional to 176,326 and 416,169 is: 982,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,326 : 416,169 = 416,169 : x
  2. Step 2: Convert to fraction form
    176,326/416,169 = 416,169/x
  3. Step 3: Cross multiply
    176,326x = 416,169 × 416,169
  4. Step 4: Simplify right side
    176,326x = 173,196,636,561
  5. Step 5: Solve for x
    x = 173,196,636,561/176,326
  6. Step 6: Final answer
    x = 982,252.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.