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Finding the Third Proportional to 181,582 and 385,010

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Solution

The third proportional to 181,582 and 385,010 is: 816,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,582 : 385,010 = 385,010 : x
  2. Step 2: Convert to fraction form
    181,582/385,010 = 385,010/x
  3. Step 3: Cross multiply
    181,582x = 385,010 × 385,010
  4. Step 4: Simplify right side
    181,582x = 148,232,700,100
  5. Step 5: Solve for x
    x = 148,232,700,100/181,582
  6. Step 6: Final answer
    x = 816,340.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.