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Finding the Third Proportional to 173,664 and 378,432

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Solution

The third proportional to 173,664 and 378,432 is: 824,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,664 : 378,432 = 378,432 : x
  2. Step 2: Convert to fraction form
    173,664/378,432 = 378,432/x
  3. Step 3: Cross multiply
    173,664x = 378,432 × 378,432
  4. Step 4: Simplify right side
    173,664x = 143,210,778,624
  5. Step 5: Solve for x
    x = 143,210,778,624/173,664
  6. Step 6: Final answer
    x = 824,642.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.