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Finding the Third Proportional to 202,875 and 433,892

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Solution

The third proportional to 202,875 and 433,892 is: 927,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,875 : 433,892 = 433,892 : x
  2. Step 2: Convert to fraction form
    202,875/433,892 = 433,892/x
  3. Step 3: Cross multiply
    202,875x = 433,892 × 433,892
  4. Step 4: Simplify right side
    202,875x = 188,262,267,664
  5. Step 5: Solve for x
    x = 188,262,267,664/202,875
  6. Step 6: Final answer
    x = 927,971.74

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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.