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Finding the Third Proportional to 163,160 and 361,312

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Solution

The third proportional to 163,160 and 361,312 is: 800,112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,160 : 361,312 = 361,312 : x
  2. Step 2: Convert to fraction form
    163,160/361,312 = 361,312/x
  3. Step 3: Cross multiply
    163,160x = 361,312 × 361,312
  4. Step 4: Simplify right side
    163,160x = 130,546,361,344
  5. Step 5: Solve for x
    x = 130,546,361,344/163,160
  6. Step 6: Final answer
    x = 800,112.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.