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Finding the Third Proportional to 180,650 and 254,169

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Solution

The third proportional to 180,650 and 254,169 is: 357,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,650 : 254,169 = 254,169 : x
  2. Step 2: Convert to fraction form
    180,650/254,169 = 254,169/x
  3. Step 3: Cross multiply
    180,650x = 254,169 × 254,169
  4. Step 4: Simplify right side
    180,650x = 64,601,880,561
  5. Step 5: Solve for x
    x = 64,601,880,561/180,650
  6. Step 6: Final answer
    x = 357,607.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.