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Finding the Third Proportional to 155,601 and 247,009.50

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Solution

The third proportional to 155,601 and 247,009.50 is: 392,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,601 : 247,009.50 = 247,009.50 : x
  2. Step 2: Convert to fraction form
    155,601/247,009.50 = 247,009.50/x
  3. Step 3: Cross multiply
    155,601x = 247,009.50 × 247,009.50
  4. Step 4: Simplify right side
    155,601x = 61,013,693,090.25
  5. Step 5: Solve for x
    x = 61,013,693,090.25/155,601
  6. Step 6: Final answer
    x = 392,116.33

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.