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Finding the Third Proportional to 183,535 and 283,670.50

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Solution

The third proportional to 183,535 and 283,670.50 is: 438,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,535 : 283,670.50 = 283,670.50 : x
  2. Step 2: Convert to fraction form
    183,535/283,670.50 = 283,670.50/x
  3. Step 3: Cross multiply
    183,535x = 283,670.50 × 283,670.50
  4. Step 4: Simplify right side
    183,535x = 80,468,952,570.25
  5. Step 5: Solve for x
    x = 80,468,952,570.25/183,535
  6. Step 6: Final answer
    x = 438,439.28

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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.