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Finding the Third Proportional to 157,763 and 344,437

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Solution

The third proportional to 157,763 and 344,437 is: 751,994.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,763 : 344,437 = 344,437 : x
  2. Step 2: Convert to fraction form
    157,763/344,437 = 344,437/x
  3. Step 3: Cross multiply
    157,763x = 344,437 × 344,437
  4. Step 4: Simplify right side
    157,763x = 118,636,846,969
  5. Step 5: Solve for x
    x = 118,636,846,969/157,763
  6. Step 6: Final answer
    x = 751,994.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.