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Finding the Third Proportional to 267,303.38 and 353,327.06

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Solution

The third proportional to 267,303.38 and 353,327.06 is: 467,034.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,303.38 : 353,327.06 = 353,327.06 : x
  2. Step 2: Convert to fraction form
    267,303.38/353,327.06 = 353,327.06/x
  3. Step 3: Cross multiply
    267,303.38x = 353,327.06 × 353,327.06
  4. Step 4: Simplify right side
    267,303.38x = 124,840,013,094.88
  5. Step 5: Solve for x
    x = 124,840,013,094.88/267,303.38
  6. Step 6: Final answer
    x = 467,034.93

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.