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Finding the Third Proportional to 157,575.50 and 345,764

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Solution

The third proportional to 157,575.50 and 345,764 is: 758,701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,575.50 : 345,764 = 345,764 : x
  2. Step 2: Convert to fraction form
    157,575.50/345,764 = 345,764/x
  3. Step 3: Cross multiply
    157,575.50x = 345,764 × 345,764
  4. Step 4: Simplify right side
    157,575.50x = 119,552,743,696
  5. Step 5: Solve for x
    x = 119,552,743,696/157,575.50
  6. Step 6: Final answer
    x = 758,701.34

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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.