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Finding the Third Proportional to 214,695.56 and 315,631.69

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Solution

The third proportional to 214,695.56 and 315,631.69 is: 464,021.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,695.56 : 315,631.69 = 315,631.69 : x
  2. Step 2: Convert to fraction form
    214,695.56/315,631.69 = 315,631.69/x
  3. Step 3: Cross multiply
    214,695.56x = 315,631.69 × 315,631.69
  4. Step 4: Simplify right side
    214,695.56x = 99,623,362,154.10
  5. Step 5: Solve for x
    x = 99,623,362,154.10/214,695.56
  6. Step 6: Final answer
    x = 464,021.52

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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.