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Finding the Third Proportional to 154,773 and 233,402

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Solution

The third proportional to 154,773 and 233,402 is: 351,976.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,773 : 233,402 = 233,402 : x
  2. Step 2: Convert to fraction form
    154,773/233,402 = 233,402/x
  3. Step 3: Cross multiply
    154,773x = 233,402 × 233,402
  4. Step 4: Simplify right side
    154,773x = 54,476,493,604
  5. Step 5: Solve for x
    x = 54,476,493,604/154,773
  6. Step 6: Final answer
    x = 351,976.72

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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.