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Finding the Third Proportional to 183,487.50 and 280,701

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Solution

The third proportional to 183,487.50 and 280,701 is: 429,419.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,487.50 : 280,701 = 280,701 : x
  2. Step 2: Convert to fraction form
    183,487.50/280,701 = 280,701/x
  3. Step 3: Cross multiply
    183,487.50x = 280,701 × 280,701
  4. Step 4: Simplify right side
    183,487.50x = 78,793,051,401
  5. Step 5: Solve for x
    x = 78,793,051,401/183,487.50
  6. Step 6: Final answer
    x = 429,419.18

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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.