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Finding the Third Proportional to 246,142 and 368,804

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Solution

The third proportional to 246,142 and 368,804 is: 552,593.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,142 : 368,804 = 368,804 : x
  2. Step 2: Convert to fraction form
    246,142/368,804 = 368,804/x
  3. Step 3: Cross multiply
    246,142x = 368,804 × 368,804
  4. Step 4: Simplify right side
    246,142x = 136,016,390,416
  5. Step 5: Solve for x
    x = 136,016,390,416/246,142
  6. Step 6: Final answer
    x = 552,593.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.