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Finding the Third Proportional to 161,504 and 243,712

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Solution

The third proportional to 161,504 and 243,712 is: 367,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,504 : 243,712 = 243,712 : x
  2. Step 2: Convert to fraction form
    161,504/243,712 = 243,712/x
  3. Step 3: Cross multiply
    161,504x = 243,712 × 243,712
  4. Step 4: Simplify right side
    161,504x = 59,395,538,944
  5. Step 5: Solve for x
    x = 59,395,538,944/161,504
  6. Step 6: Final answer
    x = 367,765.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.