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Finding the Third Proportional to 230,032 and 349,186.50

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Solution

The third proportional to 230,032 and 349,186.50 is: 530,061.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,032 : 349,186.50 = 349,186.50 : x
  2. Step 2: Convert to fraction form
    230,032/349,186.50 = 349,186.50/x
  3. Step 3: Cross multiply
    230,032x = 349,186.50 × 349,186.50
  4. Step 4: Simplify right side
    230,032x = 121,931,211,782.25
  5. Step 5: Solve for x
    x = 121,931,211,782.25/230,032
  6. Step 6: Final answer
    x = 530,061.96

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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.