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Finding the Third Proportional to 235,133.50 and 336,108.50

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Solution

The third proportional to 235,133.50 and 336,108.50 is: 480,445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,133.50 : 336,108.50 = 336,108.50 : x
  2. Step 2: Convert to fraction form
    235,133.50/336,108.50 = 336,108.50/x
  3. Step 3: Cross multiply
    235,133.50x = 336,108.50 × 336,108.50
  4. Step 4: Simplify right side
    235,133.50x = 112,968,923,772.25
  5. Step 5: Solve for x
    x = 112,968,923,772.25/235,133.50
  6. Step 6: Final answer
    x = 480,445.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.