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Finding the Third Proportional to 157,272 and 336,584.63

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Solution

The third proportional to 157,272 and 336,584.63 is: 720,339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,272 : 336,584.63 = 336,584.63 : x
  2. Step 2: Convert to fraction form
    157,272/336,584.63 = 336,584.63/x
  3. Step 3: Cross multiply
    157,272x = 336,584.63 × 336,584.63
  4. Step 4: Simplify right side
    157,272x = 113,289,209,786.39
  5. Step 5: Solve for x
    x = 113,289,209,786.39/157,272
  6. Step 6: Final answer
    x = 720,339.35

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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.