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Finding the Third Proportional to 169,461 and 368,433

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Solution

The third proportional to 169,461 and 368,433 is: 801,027.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,461 : 368,433 = 368,433 : x
  2. Step 2: Convert to fraction form
    169,461/368,433 = 368,433/x
  3. Step 3: Cross multiply
    169,461x = 368,433 × 368,433
  4. Step 4: Simplify right side
    169,461x = 135,742,875,489
  5. Step 5: Solve for x
    x = 135,742,875,489/169,461
  6. Step 6: Final answer
    x = 801,027.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.