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Finding the Third Proportional to 150,931.50 and 349,131

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Solution

The third proportional to 150,931.50 and 349,131 is: 807,601.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,931.50 : 349,131 = 349,131 : x
  2. Step 2: Convert to fraction form
    150,931.50/349,131 = 349,131/x
  3. Step 3: Cross multiply
    150,931.50x = 349,131 × 349,131
  4. Step 4: Simplify right side
    150,931.50x = 121,892,455,161
  5. Step 5: Solve for x
    x = 121,892,455,161/150,931.50
  6. Step 6: Final answer
    x = 807,601.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.