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Finding the Third Proportional to 108,001.50 and 235,656

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Solution

The third proportional to 108,001.50 and 235,656 is: 514,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,001.50 : 235,656 = 235,656 : x
  2. Step 2: Convert to fraction form
    108,001.50/235,656 = 235,656/x
  3. Step 3: Cross multiply
    108,001.50x = 235,656 × 235,656
  4. Step 4: Simplify right side
    108,001.50x = 55,533,750,336
  5. Step 5: Solve for x
    x = 55,533,750,336/108,001.50
  6. Step 6: Final answer
    x = 514,194.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.