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Finding the Third Proportional to 239,464.50 and 348,666.75

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Solution

The third proportional to 239,464.50 and 348,666.75 is: 507,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,464.50 : 348,666.75 = 348,666.75 : x
  2. Step 2: Convert to fraction form
    239,464.50/348,666.75 = 348,666.75/x
  3. Step 3: Cross multiply
    239,464.50x = 348,666.75 × 348,666.75
  4. Step 4: Simplify right side
    239,464.50x = 121,568,502,555.56
  5. Step 5: Solve for x
    x = 121,568,502,555.56/239,464.50
  6. Step 6: Final answer
    x = 507,668.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.