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Finding the Third Proportional to 183,480 and 271,818

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Solution

The third proportional to 183,480 and 271,818 is: 402,687.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,480 : 271,818 = 271,818 : x
  2. Step 2: Convert to fraction form
    183,480/271,818 = 271,818/x
  3. Step 3: Cross multiply
    183,480x = 271,818 × 271,818
  4. Step 4: Simplify right side
    183,480x = 73,885,025,124
  5. Step 5: Solve for x
    x = 73,885,025,124/183,480
  6. Step 6: Final answer
    x = 402,687.08

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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.