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Finding the Third Proportional to 157,188 and 336,570

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Solution

The third proportional to 157,188 and 336,570 is: 720,661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,188 : 336,570 = 336,570 : x
  2. Step 2: Convert to fraction form
    157,188/336,570 = 336,570/x
  3. Step 3: Cross multiply
    157,188x = 336,570 × 336,570
  4. Step 4: Simplify right side
    157,188x = 113,279,364,900
  5. Step 5: Solve for x
    x = 113,279,364,900/157,188
  6. Step 6: Final answer
    x = 720,661.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.