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Finding the Third Proportional to 202,880 and 435,658

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Solution

The third proportional to 202,880 and 435,658 is: 935,518.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,880 : 435,658 = 435,658 : x
  2. Step 2: Convert to fraction form
    202,880/435,658 = 435,658/x
  3. Step 3: Cross multiply
    202,880x = 435,658 × 435,658
  4. Step 4: Simplify right side
    202,880x = 189,797,892,964
  5. Step 5: Solve for x
    x = 189,797,892,964/202,880
  6. Step 6: Final answer
    x = 935,518.01

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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.