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Finding the Third Proportional to 234,056 and 353,154

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Solution

The third proportional to 234,056 and 353,154 is: 532,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,056 : 353,154 = 353,154 : x
  2. Step 2: Convert to fraction form
    234,056/353,154 = 353,154/x
  3. Step 3: Cross multiply
    234,056x = 353,154 × 353,154
  4. Step 4: Simplify right side
    234,056x = 124,717,747,716
  5. Step 5: Solve for x
    x = 124,717,747,716/234,056
  6. Step 6: Final answer
    x = 532,854.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.