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Finding the Third Proportional to 116,523 and 202,284

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Solution

The third proportional to 116,523 and 202,284 is: 351,165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,523 : 202,284 = 202,284 : x
  2. Step 2: Convert to fraction form
    116,523/202,284 = 202,284/x
  3. Step 3: Cross multiply
    116,523x = 202,284 × 202,284
  4. Step 4: Simplify right side
    116,523x = 40,918,816,656
  5. Step 5: Solve for x
    x = 40,918,816,656/116,523
  6. Step 6: Final answer
    x = 351,165.15

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.