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Finding the Third Proportional to 155,266 and 233,677

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Solution

The third proportional to 155,266 and 233,677 is: 351,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,266 : 233,677 = 233,677 : x
  2. Step 2: Convert to fraction form
    155,266/233,677 = 233,677/x
  3. Step 3: Cross multiply
    155,266x = 233,677 × 233,677
  4. Step 4: Simplify right side
    155,266x = 54,604,940,329
  5. Step 5: Solve for x
    x = 54,604,940,329/155,266
  6. Step 6: Final answer
    x = 351,686.40

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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.