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Finding the Third Proportional to 175,396 and 273,362

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Solution

The third proportional to 175,396 and 273,362 is: 426,046.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,396 : 273,362 = 273,362 : x
  2. Step 2: Convert to fraction form
    175,396/273,362 = 273,362/x
  3. Step 3: Cross multiply
    175,396x = 273,362 × 273,362
  4. Step 4: Simplify right side
    175,396x = 74,726,783,044
  5. Step 5: Solve for x
    x = 74,726,783,044/175,396
  6. Step 6: Final answer
    x = 426,046.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.