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Finding the Third Proportional to 108,308.25 and 237,541.50

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Solution

The third proportional to 108,308.25 and 237,541.50 is: 520,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,308.25 : 237,541.50 = 237,541.50 : x
  2. Step 2: Convert to fraction form
    108,308.25/237,541.50 = 237,541.50/x
  3. Step 3: Cross multiply
    108,308.25x = 237,541.50 × 237,541.50
  4. Step 4: Simplify right side
    108,308.25x = 56,425,964,222.25
  5. Step 5: Solve for x
    x = 56,425,964,222.25/108,308.25
  6. Step 6: Final answer
    x = 520,975.68

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