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Finding the Third Proportional to 135,299.63 and 292,279.88

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Solution

The third proportional to 135,299.63 and 292,279.88 is: 631,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,299.63 : 292,279.88 = 292,279.88 : x
  2. Step 2: Convert to fraction form
    135,299.63/292,279.88 = 292,279.88/x
  3. Step 3: Cross multiply
    135,299.63x = 292,279.88 × 292,279.88
  4. Step 4: Simplify right side
    135,299.63x = 85,427,525,330.02
  5. Step 5: Solve for x
    x = 85,427,525,330.02/135,299.63
  6. Step 6: Final answer
    x = 631,395.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.