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Finding the Third Proportional to 235,120 and 532,151

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Solution

The third proportional to 235,120 and 532,151 is: 1,204,426.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,120 : 532,151 = 532,151 : x
  2. Step 2: Convert to fraction form
    235,120/532,151 = 532,151/x
  3. Step 3: Cross multiply
    235,120x = 532,151 × 532,151
  4. Step 4: Simplify right side
    235,120x = 283,184,686,801
  5. Step 5: Solve for x
    x = 283,184,686,801/235,120
  6. Step 6: Final answer
    x = 1,204,426.19

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.