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Finding the Third Proportional to 243,546 and 382,146

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Solution

The third proportional to 243,546 and 382,146 is: 599,622.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,546 : 382,146 = 382,146 : x
  2. Step 2: Convert to fraction form
    243,546/382,146 = 382,146/x
  3. Step 3: Cross multiply
    243,546x = 382,146 × 382,146
  4. Step 4: Simplify right side
    243,546x = 146,035,565,316
  5. Step 5: Solve for x
    x = 146,035,565,316/243,546
  6. Step 6: Final answer
    x = 599,622.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.