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Finding the Third Proportional to 132,977.25 and 284,638.50

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Solution

The third proportional to 132,977.25 and 284,638.50 is: 609,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,977.25 : 284,638.50 = 284,638.50 : x
  2. Step 2: Convert to fraction form
    132,977.25/284,638.50 = 284,638.50/x
  3. Step 3: Cross multiply
    132,977.25x = 284,638.50 × 284,638.50
  4. Step 4: Simplify right side
    132,977.25x = 81,019,075,682.25
  5. Step 5: Solve for x
    x = 81,019,075,682.25/132,977.25
  6. Step 6: Final answer
    x = 609,270.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.