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Finding the Third Proportional to 183,648 and 283,776

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Solution

The third proportional to 183,648 and 283,776 is: 438,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,648 : 283,776 = 283,776 : x
  2. Step 2: Convert to fraction form
    183,648/283,776 = 283,776/x
  3. Step 3: Cross multiply
    183,648x = 283,776 × 283,776
  4. Step 4: Simplify right side
    183,648x = 80,528,818,176
  5. Step 5: Solve for x
    x = 80,528,818,176/183,648
  6. Step 6: Final answer
    x = 438,495.48

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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.