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Finding the Third Proportional to 83,688 and 180,516

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Solution

The third proportional to 83,688 and 180,516 is: 389,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,688 : 180,516 = 180,516 : x
  2. Step 2: Convert to fraction form
    83,688/180,516 = 180,516/x
  3. Step 3: Cross multiply
    83,688x = 180,516 × 180,516
  4. Step 4: Simplify right side
    83,688x = 32,586,026,256
  5. Step 5: Solve for x
    x = 32,586,026,256/83,688
  6. Step 6: Final answer
    x = 389,375.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.