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Finding the Third Proportional to 141,736.50 and 210,775.50

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Solution

The third proportional to 141,736.50 and 210,775.50 is: 313,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,736.50 : 210,775.50 = 210,775.50 : x
  2. Step 2: Convert to fraction form
    141,736.50/210,775.50 = 210,775.50/x
  3. Step 3: Cross multiply
    141,736.50x = 210,775.50 × 210,775.50
  4. Step 4: Simplify right side
    141,736.50x = 44,426,311,400.25
  5. Step 5: Solve for x
    x = 44,426,311,400.25/141,736.50
  6. Step 6: Final answer
    x = 313,442.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.