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Finding the Third Proportional to 201,911 and 295,522

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Solution

The third proportional to 201,911 and 295,522 is: 432,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,911 : 295,522 = 295,522 : x
  2. Step 2: Convert to fraction form
    201,911/295,522 = 295,522/x
  3. Step 3: Cross multiply
    201,911x = 295,522 × 295,522
  4. Step 4: Simplify right side
    201,911x = 87,333,252,484
  5. Step 5: Solve for x
    x = 87,333,252,484/201,911
  6. Step 6: Final answer
    x = 432,533.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.