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Finding the Third Proportional to 143,932.50 and 314,064

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Solution

The third proportional to 143,932.50 and 314,064 is: 685,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,932.50 : 314,064 = 314,064 : x
  2. Step 2: Convert to fraction form
    143,932.50/314,064 = 314,064/x
  3. Step 3: Cross multiply
    143,932.50x = 314,064 × 314,064
  4. Step 4: Simplify right side
    143,932.50x = 98,636,196,096
  5. Step 5: Solve for x
    x = 98,636,196,096/143,932.50
  6. Step 6: Final answer
    x = 685,294.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.