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Finding the Third Proportional to 180,484 and 264,570

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Solution

The third proportional to 180,484 and 264,570 is: 387,830.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,484 : 264,570 = 264,570 : x
  2. Step 2: Convert to fraction form
    180,484/264,570 = 264,570/x
  3. Step 3: Cross multiply
    180,484x = 264,570 × 264,570
  4. Step 4: Simplify right side
    180,484x = 69,997,284,900
  5. Step 5: Solve for x
    x = 69,997,284,900/180,484
  6. Step 6: Final answer
    x = 387,830.97

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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.