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Finding the Third Proportional to 202,347 and 434,218.50

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Solution

The third proportional to 202,347 and 434,218.50 is: 931,793.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,347 : 434,218.50 = 434,218.50 : x
  2. Step 2: Convert to fraction form
    202,347/434,218.50 = 434,218.50/x
  3. Step 3: Cross multiply
    202,347x = 434,218.50 × 434,218.50
  4. Step 4: Simplify right side
    202,347x = 188,545,705,742.25
  5. Step 5: Solve for x
    x = 188,545,705,742.25/202,347
  6. Step 6: Final answer
    x = 931,793.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.