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Finding the Third Proportional to 173,585 and 263,294

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Solution

The third proportional to 173,585 and 263,294 is: 399,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,585 : 263,294 = 263,294 : x
  2. Step 2: Convert to fraction form
    173,585/263,294 = 263,294/x
  3. Step 3: Cross multiply
    173,585x = 263,294 × 263,294
  4. Step 4: Simplify right side
    173,585x = 69,323,730,436
  5. Step 5: Solve for x
    x = 69,323,730,436/173,585
  6. Step 6: Final answer
    x = 399,364.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.