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Finding the Third Proportional to 183,688 and 280,801

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Solution

The third proportional to 183,688 and 280,801 is: 429,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,688 : 280,801 = 280,801 : x
  2. Step 2: Convert to fraction form
    183,688/280,801 = 280,801/x
  3. Step 3: Cross multiply
    183,688x = 280,801 × 280,801
  4. Step 4: Simplify right side
    183,688x = 78,849,201,601
  5. Step 5: Solve for x
    x = 78,849,201,601/183,688
  6. Step 6: Final answer
    x = 429,256.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.