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Finding the Third Proportional to 183,577 and 280,798

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Solution

The third proportional to 183,577 and 280,798 is: 429,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,577 : 280,798 = 280,798 : x
  2. Step 2: Convert to fraction form
    183,577/280,798 = 280,798/x
  3. Step 3: Cross multiply
    183,577x = 280,798 × 280,798
  4. Step 4: Simplify right side
    183,577x = 78,847,516,804
  5. Step 5: Solve for x
    x = 78,847,516,804/183,577
  6. Step 6: Final answer
    x = 429,506.51

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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.