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Finding the Third Proportional to 157,590 and 345,796

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Solution

The third proportional to 157,590 and 345,796 is: 758,771.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,590 : 345,796 = 345,796 : x
  2. Step 2: Convert to fraction form
    157,590/345,796 = 345,796/x
  3. Step 3: Cross multiply
    157,590x = 345,796 × 345,796
  4. Step 4: Simplify right side
    157,590x = 119,574,873,616
  5. Step 5: Solve for x
    x = 119,574,873,616/157,590
  6. Step 6: Final answer
    x = 758,771.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.