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Finding the Third Proportional to 179,038.69 and 243,298.69

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Solution

The third proportional to 179,038.69 and 243,298.69 is: 330,622.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,038.69 : 243,298.69 = 243,298.69 : x
  2. Step 2: Convert to fraction form
    179,038.69/243,298.69 = 243,298.69/x
  3. Step 3: Cross multiply
    179,038.69x = 243,298.69 × 243,298.69
  4. Step 4: Simplify right side
    179,038.69x = 59,194,251,339.22
  5. Step 5: Solve for x
    x = 59,194,251,339.22/179,038.69
  6. Step 6: Final answer
    x = 330,622.68

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.