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Finding the Third Proportional to 183,479.50 and 283,569

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Solution

The third proportional to 183,479.50 and 283,569 is: 438,258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,479.50 : 283,569 = 283,569 : x
  2. Step 2: Convert to fraction form
    183,479.50/283,569 = 283,569/x
  3. Step 3: Cross multiply
    183,479.50x = 283,569 × 283,569
  4. Step 4: Simplify right side
    183,479.50x = 80,411,377,761
  5. Step 5: Solve for x
    x = 80,411,377,761/183,479.50
  6. Step 6: Final answer
    x = 438,258.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.