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Finding the Third Proportional to 199,063.50 and 433,119

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Solution

The third proportional to 199,063.50 and 433,119 is: 942,373.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,063.50 : 433,119 = 433,119 : x
  2. Step 2: Convert to fraction form
    199,063.50/433,119 = 433,119/x
  3. Step 3: Cross multiply
    199,063.50x = 433,119 × 433,119
  4. Step 4: Simplify right side
    199,063.50x = 187,592,068,161
  5. Step 5: Solve for x
    x = 187,592,068,161/199,063.50
  6. Step 6: Final answer
    x = 942,373.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.