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Finding the Third Proportional to 202,176 and 308,160

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Solution

The third proportional to 202,176 and 308,160 is: 469,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,176 : 308,160 = 308,160 : x
  2. Step 2: Convert to fraction form
    202,176/308,160 = 308,160/x
  3. Step 3: Cross multiply
    202,176x = 308,160 × 308,160
  4. Step 4: Simplify right side
    202,176x = 94,962,585,600
  5. Step 5: Solve for x
    x = 94,962,585,600/202,176
  6. Step 6: Final answer
    x = 469,702.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.