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Finding the Third Proportional to 163,417 and 245,043

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Solution

The third proportional to 163,417 and 245,043 is: 367,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,417 : 245,043 = 245,043 : x
  2. Step 2: Convert to fraction form
    163,417/245,043 = 245,043/x
  3. Step 3: Cross multiply
    163,417x = 245,043 × 245,043
  4. Step 4: Simplify right side
    163,417x = 60,046,071,849
  5. Step 5: Solve for x
    x = 60,046,071,849/163,417
  6. Step 6: Final answer
    x = 367,440.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.