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Finding the Third Proportional to 108,307.50 and 237,538.50

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Solution

The third proportional to 108,307.50 and 237,538.50 is: 520,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,307.50 : 237,538.50 = 237,538.50 : x
  2. Step 2: Convert to fraction form
    108,307.50/237,538.50 = 237,538.50/x
  3. Step 3: Cross multiply
    108,307.50x = 237,538.50 × 237,538.50
  4. Step 4: Simplify right side
    108,307.50x = 56,424,538,982.25
  5. Step 5: Solve for x
    x = 56,424,538,982.25/108,307.50
  6. Step 6: Final answer
    x = 520,966.13

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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.