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Finding the Third Proportional to 180,275 and 417,326

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Solution

The third proportional to 180,275 and 417,326 is: 966,085.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,275 : 417,326 = 417,326 : x
  2. Step 2: Convert to fraction form
    180,275/417,326 = 417,326/x
  3. Step 3: Cross multiply
    180,275x = 417,326 × 417,326
  4. Step 4: Simplify right side
    180,275x = 174,160,990,276
  5. Step 5: Solve for x
    x = 174,160,990,276/180,275
  6. Step 6: Final answer
    x = 966,085.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.