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Finding the Third Proportional to 183,270 and 283,772

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Solution

The third proportional to 183,270 and 283,772 is: 439,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,270 : 283,772 = 283,772 : x
  2. Step 2: Convert to fraction form
    183,270/283,772 = 283,772/x
  3. Step 3: Cross multiply
    183,270x = 283,772 × 283,772
  4. Step 4: Simplify right side
    183,270x = 80,526,547,984
  5. Step 5: Solve for x
    x = 80,526,547,984/183,270
  6. Step 6: Final answer
    x = 439,387.50

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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.