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Finding the Third Proportional to 178,320 and 387,360

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Solution

The third proportional to 178,320 and 387,360 is: 841,452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,320 : 387,360 = 387,360 : x
  2. Step 2: Convert to fraction form
    178,320/387,360 = 387,360/x
  3. Step 3: Cross multiply
    178,320x = 387,360 × 387,360
  4. Step 4: Simplify right side
    178,320x = 150,047,769,600
  5. Step 5: Solve for x
    x = 150,047,769,600/178,320
  6. Step 6: Final answer
    x = 841,452.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.