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Finding the Third Proportional to 177,360 and 385,752

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Solution

The third proportional to 177,360 and 385,752 is: 838,997.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,360 : 385,752 = 385,752 : x
  2. Step 2: Convert to fraction form
    177,360/385,752 = 385,752/x
  3. Step 3: Cross multiply
    177,360x = 385,752 × 385,752
  4. Step 4: Simplify right side
    177,360x = 148,804,605,504
  5. Step 5: Solve for x
    x = 148,804,605,504/177,360
  6. Step 6: Final answer
    x = 838,997.55

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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.