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Finding the Third Proportional to 180,490 and 264,579

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Solution

The third proportional to 180,490 and 264,579 is: 387,844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,490 : 264,579 = 264,579 : x
  2. Step 2: Convert to fraction form
    180,490/264,579 = 264,579/x
  3. Step 3: Cross multiply
    180,490x = 264,579 × 264,579
  4. Step 4: Simplify right side
    180,490x = 70,002,047,241
  5. Step 5: Solve for x
    x = 70,002,047,241/180,490
  6. Step 6: Final answer
    x = 387,844.46

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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.