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Finding the Third Proportional to 233,284 and 353,166

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Solution

The third proportional to 233,284 and 353,166 is: 534,654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,284 : 353,166 = 353,166 : x
  2. Step 2: Convert to fraction form
    233,284/353,166 = 353,166/x
  3. Step 3: Cross multiply
    233,284x = 353,166 × 353,166
  4. Step 4: Simplify right side
    233,284x = 124,726,223,556
  5. Step 5: Solve for x
    x = 124,726,223,556/233,284
  6. Step 6: Final answer
    x = 534,654.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.