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Finding the Third Proportional to 202,822.50 and 432,790.50

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Solution

The third proportional to 202,822.50 and 432,790.50 is: 923,505.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,822.50 : 432,790.50 = 432,790.50 : x
  2. Step 2: Convert to fraction form
    202,822.50/432,790.50 = 432,790.50/x
  3. Step 3: Cross multiply
    202,822.50x = 432,790.50 × 432,790.50
  4. Step 4: Simplify right side
    202,822.50x = 187,307,616,890.25
  5. Step 5: Solve for x
    x = 187,307,616,890.25/202,822.50
  6. Step 6: Final answer
    x = 923,505.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.