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Finding the Third Proportional to 180,324 and 385,664

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Solution

The third proportional to 180,324 and 385,664 is: 824,830.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,324 : 385,664 = 385,664 : x
  2. Step 2: Convert to fraction form
    180,324/385,664 = 385,664/x
  3. Step 3: Cross multiply
    180,324x = 385,664 × 385,664
  4. Step 4: Simplify right side
    180,324x = 148,736,720,896
  5. Step 5: Solve for x
    x = 148,736,720,896/180,324
  6. Step 6: Final answer
    x = 824,830.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.