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Finding the Third Proportional to 181,926 and 382,702

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Solution

The third proportional to 181,926 and 382,702 is: 805,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,926 : 382,702 = 382,702 : x
  2. Step 2: Convert to fraction form
    181,926/382,702 = 382,702/x
  3. Step 3: Cross multiply
    181,926x = 382,702 × 382,702
  4. Step 4: Simplify right side
    181,926x = 146,460,820,804
  5. Step 5: Solve for x
    x = 146,460,820,804/181,926
  6. Step 6: Final answer
    x = 805,057.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.