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Finding the Third Proportional to 129,798 and 287,777

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Solution

The third proportional to 129,798 and 287,777 is: 638,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,798 : 287,777 = 287,777 : x
  2. Step 2: Convert to fraction form
    129,798/287,777 = 287,777/x
  3. Step 3: Cross multiply
    129,798x = 287,777 × 287,777
  4. Step 4: Simplify right side
    129,798x = 82,815,601,729
  5. Step 5: Solve for x
    x = 82,815,601,729/129,798
  6. Step 6: Final answer
    x = 638,034.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.