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Finding the Third Proportional to 202,152 and 295,860

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Solution

The third proportional to 202,152 and 295,860 is: 433,006.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,152 : 295,860 = 295,860 : x
  2. Step 2: Convert to fraction form
    202,152/295,860 = 295,860/x
  3. Step 3: Cross multiply
    202,152x = 295,860 × 295,860
  4. Step 4: Simplify right side
    202,152x = 87,533,139,600
  5. Step 5: Solve for x
    x = 87,533,139,600/202,152
  6. Step 6: Final answer
    x = 433,006.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.