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Finding the Third Proportional to 163,706.06 and 231,070.22

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Solution

The third proportional to 163,706.06 and 231,070.22 is: 326,154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,706.06 : 231,070.22 = 231,070.22 : x
  2. Step 2: Convert to fraction form
    163,706.06/231,070.22 = 231,070.22/x
  3. Step 3: Cross multiply
    163,706.06x = 231,070.22 × 231,070.22
  4. Step 4: Simplify right side
    163,706.06x = 53,393,445,993.17
  5. Step 5: Solve for x
    x = 53,393,445,993.17/163,706.06
  6. Step 6: Final answer
    x = 326,154.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.