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Finding the Third Proportional to 230,025.38 and 349,176.94

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Solution

The third proportional to 230,025.38 and 349,176.94 is: 530,048.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,025.38 : 349,176.94 = 349,176.94 : x
  2. Step 2: Convert to fraction form
    230,025.38/349,176.94 = 349,176.94/x
  3. Step 3: Cross multiply
    230,025.38x = 349,176.94 × 349,176.94
  4. Step 4: Simplify right side
    230,025.38x = 121,924,533,681.88
  5. Step 5: Solve for x
    x = 121,924,533,681.88/230,025.38
  6. Step 6: Final answer
    x = 530,048.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.