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Finding the Third Proportional to 180,480 and 264,564

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Solution

The third proportional to 180,480 and 264,564 is: 387,821.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,480 : 264,564 = 264,564 : x
  2. Step 2: Convert to fraction form
    180,480/264,564 = 264,564/x
  3. Step 3: Cross multiply
    180,480x = 264,564 × 264,564
  4. Step 4: Simplify right side
    180,480x = 69,994,110,096
  5. Step 5: Solve for x
    x = 69,994,110,096/180,480
  6. Step 6: Final answer
    x = 387,821.98

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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.