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Finding the Third Proportional to 183,732 and 305,726

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Solution

The third proportional to 183,732 and 305,726 is: 508,721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,732 : 305,726 = 305,726 : x
  2. Step 2: Convert to fraction form
    183,732/305,726 = 305,726/x
  3. Step 3: Cross multiply
    183,732x = 305,726 × 305,726
  4. Step 4: Simplify right side
    183,732x = 93,468,387,076
  5. Step 5: Solve for x
    x = 93,468,387,076/183,732
  6. Step 6: Final answer
    x = 508,721.33

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.