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Finding the Third Proportional to 119,338 and 257,953

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Solution

The third proportional to 119,338 and 257,953 is: 557,573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,338 : 257,953 = 257,953 : x
  2. Step 2: Convert to fraction form
    119,338/257,953 = 257,953/x
  3. Step 3: Cross multiply
    119,338x = 257,953 × 257,953
  4. Step 4: Simplify right side
    119,338x = 66,539,750,209
  5. Step 5: Solve for x
    x = 66,539,750,209/119,338
  6. Step 6: Final answer
    x = 557,573.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.