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Finding the Third Proportional to 201,833.50 and 432,645

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Solution

The third proportional to 201,833.50 and 432,645 is: 927,406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,833.50 : 432,645 = 432,645 : x
  2. Step 2: Convert to fraction form
    201,833.50/432,645 = 432,645/x
  3. Step 3: Cross multiply
    201,833.50x = 432,645 × 432,645
  4. Step 4: Simplify right side
    201,833.50x = 187,181,696,025
  5. Step 5: Solve for x
    x = 187,181,696,025/201,833.50
  6. Step 6: Final answer
    x = 927,406.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.