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Finding the Third Proportional to 214,471.69 and 314,538.94

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Solution

The third proportional to 214,471.69 and 314,538.94 is: 461,295.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,471.69 : 314,538.94 = 314,538.94 : x
  2. Step 2: Convert to fraction form
    214,471.69/314,538.94 = 314,538.94/x
  3. Step 3: Cross multiply
    214,471.69x = 314,538.94 × 314,538.94
  4. Step 4: Simplify right side
    214,471.69x = 98,934,743,203.63
  5. Step 5: Solve for x
    x = 98,934,743,203.63/214,471.69
  6. Step 6: Final answer
    x = 461,295.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.