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Finding the Third Proportional to 200,719 and 295,534

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Solution

The third proportional to 200,719 and 295,534 is: 435,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,719 : 295,534 = 295,534 : x
  2. Step 2: Convert to fraction form
    200,719/295,534 = 295,534/x
  3. Step 3: Cross multiply
    200,719x = 295,534 × 295,534
  4. Step 4: Simplify right side
    200,719x = 87,340,345,156
  5. Step 5: Solve for x
    x = 87,340,345,156/200,719
  6. Step 6: Final answer
    x = 435,137.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.