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Finding the Third Proportional to 183,476 and 271,808

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Solution

The third proportional to 183,476 and 271,808 is: 402,666.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,476 : 271,808 = 271,808 : x
  2. Step 2: Convert to fraction form
    183,476/271,808 = 271,808/x
  3. Step 3: Cross multiply
    183,476x = 271,808 × 271,808
  4. Step 4: Simplify right side
    183,476x = 73,879,588,864
  5. Step 5: Solve for x
    x = 73,879,588,864/183,476
  6. Step 6: Final answer
    x = 402,666.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.