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Finding the Third Proportional to 108,490.50 and 234,527.50

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Solution

The third proportional to 108,490.50 and 234,527.50 is: 506,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,490.50 : 234,527.50 = 234,527.50 : x
  2. Step 2: Convert to fraction form
    108,490.50/234,527.50 = 234,527.50/x
  3. Step 3: Cross multiply
    108,490.50x = 234,527.50 × 234,527.50
  4. Step 4: Simplify right side
    108,490.50x = 55,003,148,256.25
  5. Step 5: Solve for x
    x = 55,003,148,256.25/108,490.50
  6. Step 6: Final answer
    x = 506,985.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.