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Finding the Third Proportional to 183,526 and 271,877

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Solution

The third proportional to 183,526 and 271,877 is: 402,760.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,526 : 271,877 = 271,877 : x
  2. Step 2: Convert to fraction form
    183,526/271,877 = 271,877/x
  3. Step 3: Cross multiply
    183,526x = 271,877 × 271,877
  4. Step 4: Simplify right side
    183,526x = 73,917,103,129
  5. Step 5: Solve for x
    x = 73,917,103,129/183,526
  6. Step 6: Final answer
    x = 402,760.93

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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.