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Finding the Third Proportional to 154,234.76 and 238,368.05

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Solution

The third proportional to 154,234.76 and 238,368.05 is: 368,395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,234.76 : 238,368.05 = 238,368.05 : x
  2. Step 2: Convert to fraction form
    154,234.76/238,368.05 = 238,368.05/x
  3. Step 3: Cross multiply
    154,234.76x = 238,368.05 × 238,368.05
  4. Step 4: Simplify right side
    154,234.76x = 56,819,327,167.69
  5. Step 5: Solve for x
    x = 56,819,327,167.69/154,234.76
  6. Step 6: Final answer
    x = 368,395.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.