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Finding the Third Proportional to 183,521 and 271,870

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Solution

The third proportional to 183,521 and 271,870 is: 402,751.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,521 : 271,870 = 271,870 : x
  2. Step 2: Convert to fraction form
    183,521/271,870 = 271,870/x
  3. Step 3: Cross multiply
    183,521x = 271,870 × 271,870
  4. Step 4: Simplify right side
    183,521x = 73,913,296,900
  5. Step 5: Solve for x
    x = 73,913,296,900/183,521
  6. Step 6: Final answer
    x = 402,751.17

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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.