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Finding the Third Proportional to 183,176 and 290,605

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Solution

The third proportional to 183,176 and 290,605 is: 461,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,176 : 290,605 = 290,605 : x
  2. Step 2: Convert to fraction form
    183,176/290,605 = 290,605/x
  3. Step 3: Cross multiply
    183,176x = 290,605 × 290,605
  4. Step 4: Simplify right side
    183,176x = 84,451,266,025
  5. Step 5: Solve for x
    x = 84,451,266,025/183,176
  6. Step 6: Final answer
    x = 461,038.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.