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Finding the Third Proportional to 180,792 and 254,664

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Solution

The third proportional to 180,792 and 254,664 is: 358,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,792 : 254,664 = 254,664 : x
  2. Step 2: Convert to fraction form
    180,792/254,664 = 254,664/x
  3. Step 3: Cross multiply
    180,792x = 254,664 × 254,664
  4. Step 4: Simplify right side
    180,792x = 64,853,752,896
  5. Step 5: Solve for x
    x = 64,853,752,896/180,792
  6. Step 6: Final answer
    x = 358,720.26

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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.