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Finding the Third Proportional to 131,751.56 and 292,980.38

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Solution

The third proportional to 131,751.56 and 292,980.38 is: 651,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,751.56 : 292,980.38 = 292,980.38 : x
  2. Step 2: Convert to fraction form
    131,751.56/292,980.38 = 292,980.38/x
  3. Step 3: Cross multiply
    131,751.56x = 292,980.38 × 292,980.38
  4. Step 4: Simplify right side
    131,751.56x = 85,837,500,135.14
  5. Step 5: Solve for x
    x = 85,837,500,135.14/131,751.56
  6. Step 6: Final answer
    x = 651,510.30

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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.