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Finding the Third Proportional to 154,575 and 334,341

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Solution

The third proportional to 154,575 and 334,341 is: 723,169.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,575 : 334,341 = 334,341 : x
  2. Step 2: Convert to fraction form
    154,575/334,341 = 334,341/x
  3. Step 3: Cross multiply
    154,575x = 334,341 × 334,341
  4. Step 4: Simplify right side
    154,575x = 111,783,904,281
  5. Step 5: Solve for x
    x = 111,783,904,281/154,575
  6. Step 6: Final answer
    x = 723,169.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.