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Finding the Third Proportional to 108,475.50 and 233,557.50

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Solution

The third proportional to 108,475.50 and 233,557.50 is: 502,870.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,475.50 : 233,557.50 = 233,557.50 : x
  2. Step 2: Convert to fraction form
    108,475.50/233,557.50 = 233,557.50/x
  3. Step 3: Cross multiply
    108,475.50x = 233,557.50 × 233,557.50
  4. Step 4: Simplify right side
    108,475.50x = 54,549,105,806.25
  5. Step 5: Solve for x
    x = 54,549,105,806.25/108,475.50
  6. Step 6: Final answer
    x = 502,870.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.