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Finding the Third Proportional to 169,420 and 368,018

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Solution

The third proportional to 169,420 and 368,018 is: 799,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,420 : 368,018 = 368,018 : x
  2. Step 2: Convert to fraction form
    169,420/368,018 = 368,018/x
  3. Step 3: Cross multiply
    169,420x = 368,018 × 368,018
  4. Step 4: Simplify right side
    169,420x = 135,437,248,324
  5. Step 5: Solve for x
    x = 135,437,248,324/169,420
  6. Step 6: Final answer
    x = 799,417.12

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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.