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Finding the Third Proportional to 214,567.31 and 315,282.38

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Solution

The third proportional to 214,567.31 and 315,282.38 is: 463,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,567.31 : 315,282.38 = 315,282.38 : x
  2. Step 2: Convert to fraction form
    214,567.31/315,282.38 = 315,282.38/x
  3. Step 3: Cross multiply
    214,567.31x = 315,282.38 × 315,282.38
  4. Step 4: Simplify right side
    214,567.31x = 99,402,975,985.64
  5. Step 5: Solve for x
    x = 99,402,975,985.64/214,567.31
  6. Step 6: Final answer
    x = 463,271.76

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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.