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Finding the Third Proportional to 151,303.50 and 212,046.75

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Solution

The third proportional to 151,303.50 and 212,046.75 is: 297,176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,303.50 : 212,046.75 = 212,046.75 : x
  2. Step 2: Convert to fraction form
    151,303.50/212,046.75 = 212,046.75/x
  3. Step 3: Cross multiply
    151,303.50x = 212,046.75 × 212,046.75
  4. Step 4: Simplify right side
    151,303.50x = 44,963,824,185.56
  5. Step 5: Solve for x
    x = 44,963,824,185.56/151,303.50
  6. Step 6: Final answer
    x = 297,176.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.