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Finding the Third Proportional to 202,392 and 435,396

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Solution

The third proportional to 202,392 and 435,396 is: 936,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,392 : 435,396 = 435,396 : x
  2. Step 2: Convert to fraction form
    202,392/435,396 = 435,396/x
  3. Step 3: Cross multiply
    202,392x = 435,396 × 435,396
  4. Step 4: Simplify right side
    202,392x = 189,569,676,816
  5. Step 5: Solve for x
    x = 189,569,676,816/202,392
  6. Step 6: Final answer
    x = 936,646.10

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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.