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Finding the Third Proportional to 165,255.19 and 210,088.69

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Solution

The third proportional to 165,255.19 and 210,088.69 is: 267,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,255.19 : 210,088.69 = 210,088.69 : x
  2. Step 2: Convert to fraction form
    165,255.19/210,088.69 = 210,088.69/x
  3. Step 3: Cross multiply
    165,255.19x = 210,088.69 × 210,088.69
  4. Step 4: Simplify right side
    165,255.19x = 44,137,256,615.47
  5. Step 5: Solve for x
    x = 44,137,256,615.47/165,255.19
  6. Step 6: Final answer
    x = 267,085.45

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.