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Finding the Third Proportional to 154,242 and 233,306

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Solution

The third proportional to 154,242 and 233,306 is: 352,897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,242 : 233,306 = 233,306 : x
  2. Step 2: Convert to fraction form
    154,242/233,306 = 233,306/x
  3. Step 3: Cross multiply
    154,242x = 233,306 × 233,306
  4. Step 4: Simplify right side
    154,242x = 54,431,689,636
  5. Step 5: Solve for x
    x = 54,431,689,636/154,242
  6. Step 6: Final answer
    x = 352,897.98

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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.