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Finding the Third Proportional to 108,393 and 170,260.50

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Solution

The third proportional to 108,393 and 170,260.50 is: 267,440.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,393 : 170,260.50 = 170,260.50 : x
  2. Step 2: Convert to fraction form
    108,393/170,260.50 = 170,260.50/x
  3. Step 3: Cross multiply
    108,393x = 170,260.50 × 170,260.50
  4. Step 4: Simplify right side
    108,393x = 28,988,637,860.25
  5. Step 5: Solve for x
    x = 28,988,637,860.25/108,393
  6. Step 6: Final answer
    x = 267,440.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.