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Finding the Third Proportional to 214,913.25 and 461,541

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Solution

The third proportional to 214,913.25 and 461,541 is: 991,191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,913.25 : 461,541 = 461,541 : x
  2. Step 2: Convert to fraction form
    214,913.25/461,541 = 461,541/x
  3. Step 3: Cross multiply
    214,913.25x = 461,541 × 461,541
  4. Step 4: Simplify right side
    214,913.25x = 213,020,094,681
  5. Step 5: Solve for x
    x = 213,020,094,681/214,913.25
  6. Step 6: Final answer
    x = 991,191.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.