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Finding the Third Proportional to 178,374 and 261,648

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Solution

The third proportional to 178,374 and 261,648 is: 383,798.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,374 : 261,648 = 261,648 : x
  2. Step 2: Convert to fraction form
    178,374/261,648 = 261,648/x
  3. Step 3: Cross multiply
    178,374x = 261,648 × 261,648
  4. Step 4: Simplify right side
    178,374x = 68,459,675,904
  5. Step 5: Solve for x
    x = 68,459,675,904/178,374
  6. Step 6: Final answer
    x = 383,798.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.