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Finding the Third Proportional to 183,689 and 280,802.50

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Solution

The third proportional to 183,689 and 280,802.50 is: 429,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,689 : 280,802.50 = 280,802.50 : x
  2. Step 2: Convert to fraction form
    183,689/280,802.50 = 280,802.50/x
  3. Step 3: Cross multiply
    183,689x = 280,802.50 × 280,802.50
  4. Step 4: Simplify right side
    183,689x = 78,850,044,006.25
  5. Step 5: Solve for x
    x = 78,850,044,006.25/183,689
  6. Step 6: Final answer
    x = 429,258.39

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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.