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Finding the Third Proportional to 154,842 and 234,402

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Solution

The third proportional to 154,842 and 234,402 is: 354,841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,842 : 234,402 = 234,402 : x
  2. Step 2: Convert to fraction form
    154,842/234,402 = 234,402/x
  3. Step 3: Cross multiply
    154,842x = 234,402 × 234,402
  4. Step 4: Simplify right side
    154,842x = 54,944,297,604
  5. Step 5: Solve for x
    x = 54,944,297,604/154,842
  6. Step 6: Final answer
    x = 354,841.05

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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.