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Finding the Third Proportional to 71,407.13 and 156,566.25

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Solution

The third proportional to 71,407.13 and 156,566.25 is: 343,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,407.13 : 156,566.25 = 156,566.25 : x
  2. Step 2: Convert to fraction form
    71,407.13/156,566.25 = 156,566.25/x
  3. Step 3: Cross multiply
    71,407.13x = 156,566.25 × 156,566.25
  4. Step 4: Simplify right side
    71,407.13x = 24,512,990,639.06
  5. Step 5: Solve for x
    x = 24,512,990,639.06/71,407.13
  6. Step 6: Final answer
    x = 343,284.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.