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Finding the Third Proportional to 157,357.69 and 336,801.80

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Solution

The third proportional to 157,357.69 and 336,801.80 is: 720,876.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,357.69 : 336,801.80 = 336,801.80 : x
  2. Step 2: Convert to fraction form
    157,357.69/336,801.80 = 336,801.80/x
  3. Step 3: Cross multiply
    157,357.69x = 336,801.80 × 336,801.80
  4. Step 4: Simplify right side
    157,357.69x = 113,435,450,378.23
  5. Step 5: Solve for x
    x = 113,435,450,378.23/157,357.69
  6. Step 6: Final answer
    x = 720,876.45

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