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Finding the Third Proportional to 243,562 and 382,175

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Solution

The third proportional to 243,562 and 382,175 is: 599,673.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,562 : 382,175 = 382,175 : x
  2. Step 2: Convert to fraction form
    243,562/382,175 = 382,175/x
  3. Step 3: Cross multiply
    243,562x = 382,175 × 382,175
  4. Step 4: Simplify right side
    243,562x = 146,057,730,625
  5. Step 5: Solve for x
    x = 146,057,730,625/243,562
  6. Step 6: Final answer
    x = 599,673.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.