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Finding the Third Proportional to 202,851 and 432,841

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Solution

The third proportional to 202,851 and 432,841 is: 923,590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,851 : 432,841 = 432,841 : x
  2. Step 2: Convert to fraction form
    202,851/432,841 = 432,841/x
  3. Step 3: Cross multiply
    202,851x = 432,841 × 432,841
  4. Step 4: Simplify right side
    202,851x = 187,351,331,281
  5. Step 5: Solve for x
    x = 187,351,331,281/202,851
  6. Step 6: Final answer
    x = 923,590.87

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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.