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Finding the Third Proportional to 155,710.50 and 232,754.25

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Solution

The third proportional to 155,710.50 and 232,754.25 is: 347,918.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,710.50 : 232,754.25 = 232,754.25 : x
  2. Step 2: Convert to fraction form
    155,710.50/232,754.25 = 232,754.25/x
  3. Step 3: Cross multiply
    155,710.50x = 232,754.25 × 232,754.25
  4. Step 4: Simplify right side
    155,710.50x = 54,174,540,893.06
  5. Step 5: Solve for x
    x = 54,174,540,893.06/155,710.50
  6. Step 6: Final answer
    x = 347,918.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.