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Finding the Third Proportional to 128,666.50 and 283,509.50

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Solution

The third proportional to 128,666.50 and 283,509.50 is: 624,697.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,666.50 : 283,509.50 = 283,509.50 : x
  2. Step 2: Convert to fraction form
    128,666.50/283,509.50 = 283,509.50/x
  3. Step 3: Cross multiply
    128,666.50x = 283,509.50 × 283,509.50
  4. Step 4: Simplify right side
    128,666.50x = 80,377,636,590.25
  5. Step 5: Solve for x
    x = 80,377,636,590.25/128,666.50
  6. Step 6: Final answer
    x = 624,697.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.