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Finding the Third Proportional to 202,568 and 435,160

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Solution

The third proportional to 202,568 and 435,160 is: 934,818.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,568 : 435,160 = 435,160 : x
  2. Step 2: Convert to fraction form
    202,568/435,160 = 435,160/x
  3. Step 3: Cross multiply
    202,568x = 435,160 × 435,160
  4. Step 4: Simplify right side
    202,568x = 189,364,225,600
  5. Step 5: Solve for x
    x = 189,364,225,600/202,568
  6. Step 6: Final answer
    x = 934,818.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.