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Finding the Third Proportional to 214,330.50 and 314,853.75

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Solution

The third proportional to 214,330.50 and 314,853.75 is: 462,523.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,330.50 : 314,853.75 = 314,853.75 : x
  2. Step 2: Convert to fraction form
    214,330.50/314,853.75 = 314,853.75/x
  3. Step 3: Cross multiply
    214,330.50x = 314,853.75 × 314,853.75
  4. Step 4: Simplify right side
    214,330.50x = 99,132,883,889.06
  5. Step 5: Solve for x
    x = 99,132,883,889.06/214,330.50
  6. Step 6: Final answer
    x = 462,523.46

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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.