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Finding the Third Proportional to 180,262 and 417,295

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Solution

The third proportional to 180,262 and 417,295 is: 966,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,262 : 417,295 = 417,295 : x
  2. Step 2: Convert to fraction form
    180,262/417,295 = 417,295/x
  3. Step 3: Cross multiply
    180,262x = 417,295 × 417,295
  4. Step 4: Simplify right side
    180,262x = 174,135,117,025
  5. Step 5: Solve for x
    x = 174,135,117,025/180,262
  6. Step 6: Final answer
    x = 966,011.23

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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.