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Finding the Third Proportional to 163,302 and 239,360

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Solution

The third proportional to 163,302 and 239,360 is: 350,842.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,302 : 239,360 = 239,360 : x
  2. Step 2: Convert to fraction form
    163,302/239,360 = 239,360/x
  3. Step 3: Cross multiply
    163,302x = 239,360 × 239,360
  4. Step 4: Simplify right side
    163,302x = 57,293,209,600
  5. Step 5: Solve for x
    x = 57,293,209,600/163,302
  6. Step 6: Final answer
    x = 350,842.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.