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Finding the Third Proportional to 153,477 and 361,791

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Solution

The third proportional to 153,477 and 361,791 is: 852,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,477 : 361,791 = 361,791 : x
  2. Step 2: Convert to fraction form
    153,477/361,791 = 361,791/x
  3. Step 3: Cross multiply
    153,477x = 361,791 × 361,791
  4. Step 4: Simplify right side
    153,477x = 130,892,727,681
  5. Step 5: Solve for x
    x = 130,892,727,681/153,477
  6. Step 6: Final answer
    x = 852,849.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.