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Finding the Third Proportional to 180,273 and 417,321

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Solution

The third proportional to 180,273 and 417,321 is: 966,072.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,273 : 417,321 = 417,321 : x
  2. Step 2: Convert to fraction form
    180,273/417,321 = 417,321/x
  3. Step 3: Cross multiply
    180,273x = 417,321 × 417,321
  4. Step 4: Simplify right side
    180,273x = 174,156,817,041
  5. Step 5: Solve for x
    x = 174,156,817,041/180,273
  6. Step 6: Final answer
    x = 966,072.66

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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.