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Finding the Third Proportional to 182,007 and 266,490

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Solution

The third proportional to 182,007 and 266,490 is: 390,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,007 : 266,490 = 266,490 : x
  2. Step 2: Convert to fraction form
    182,007/266,490 = 266,490/x
  3. Step 3: Cross multiply
    182,007x = 266,490 × 266,490
  4. Step 4: Simplify right side
    182,007x = 71,016,920,100
  5. Step 5: Solve for x
    x = 71,016,920,100/182,007
  6. Step 6: Final answer
    x = 390,187.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.