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Finding the Third Proportional to 125,230 and 183,349

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Solution

The third proportional to 125,230 and 183,349 is: 268,440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,230 : 183,349 = 183,349 : x
  2. Step 2: Convert to fraction form
    125,230/183,349 = 183,349/x
  3. Step 3: Cross multiply
    125,230x = 183,349 × 183,349
  4. Step 4: Simplify right side
    125,230x = 33,616,855,801
  5. Step 5: Solve for x
    x = 33,616,855,801/125,230
  6. Step 6: Final answer
    x = 268,440.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.