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Finding the Third Proportional to 243,883 and 375,333

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Solution

The third proportional to 243,883 and 375,333 is: 577,632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,883 : 375,333 = 375,333 : x
  2. Step 2: Convert to fraction form
    243,883/375,333 = 375,333/x
  3. Step 3: Cross multiply
    243,883x = 375,333 × 375,333
  4. Step 4: Simplify right side
    243,883x = 140,874,860,889
  5. Step 5: Solve for x
    x = 140,874,860,889/243,883
  6. Step 6: Final answer
    x = 577,632.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.