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Finding the Third Proportional to 164,388 and 247,527

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Solution

The third proportional to 164,388 and 247,527 is: 372,713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,388 : 247,527 = 247,527 : x
  2. Step 2: Convert to fraction form
    164,388/247,527 = 247,527/x
  3. Step 3: Cross multiply
    164,388x = 247,527 × 247,527
  4. Step 4: Simplify right side
    164,388x = 61,269,615,729
  5. Step 5: Solve for x
    x = 61,269,615,729/164,388
  6. Step 6: Final answer
    x = 372,713.43

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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.