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Finding the Third Proportional to 143,014.50 and 310,632

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Solution

The third proportional to 143,014.50 and 310,632 is: 674,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,014.50 : 310,632 = 310,632 : x
  2. Step 2: Convert to fraction form
    143,014.50/310,632 = 310,632/x
  3. Step 3: Cross multiply
    143,014.50x = 310,632 × 310,632
  4. Step 4: Simplify right side
    143,014.50x = 96,492,239,424
  5. Step 5: Solve for x
    x = 96,492,239,424/143,014.50
  6. Step 6: Final answer
    x = 674,702.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.