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Finding the Third Proportional to 214,431.75 and 314,485.88

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Solution

The third proportional to 214,431.75 and 314,485.88 is: 461,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,431.75 : 314,485.88 = 314,485.88 : x
  2. Step 2: Convert to fraction form
    214,431.75/314,485.88 = 314,485.88/x
  3. Step 3: Cross multiply
    214,431.75x = 314,485.88 × 314,485.88
  4. Step 4: Simplify right side
    214,431.75x = 98,901,365,574.52
  5. Step 5: Solve for x
    x = 98,901,365,574.52/214,431.75
  6. Step 6: Final answer
    x = 461,225.38

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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.