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Finding the Third Proportional to 183,730 and 305,723

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Solution

The third proportional to 183,730 and 305,723 is: 508,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,730 : 305,723 = 305,723 : x
  2. Step 2: Convert to fraction form
    183,730/305,723 = 305,723/x
  3. Step 3: Cross multiply
    183,730x = 305,723 × 305,723
  4. Step 4: Simplify right side
    183,730x = 93,466,552,729
  5. Step 5: Solve for x
    x = 93,466,552,729/183,730
  6. Step 6: Final answer
    x = 508,716.88

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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.