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Finding the Third Proportional to 169,388 and 247,719

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Solution

The third proportional to 169,388 and 247,719 is: 362,273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,388 : 247,719 = 247,719 : x
  2. Step 2: Convert to fraction form
    169,388/247,719 = 247,719/x
  3. Step 3: Cross multiply
    169,388x = 247,719 × 247,719
  4. Step 4: Simplify right side
    169,388x = 61,364,702,961
  5. Step 5: Solve for x
    x = 61,364,702,961/169,388
  6. Step 6: Final answer
    x = 362,273.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.