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Finding the Third Proportional to 155,971.50 and 341,629.50

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Solution

The third proportional to 155,971.50 and 341,629.50 is: 748,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,971.50 : 341,629.50 = 341,629.50 : x
  2. Step 2: Convert to fraction form
    155,971.50/341,629.50 = 341,629.50/x
  3. Step 3: Cross multiply
    155,971.50x = 341,629.50 × 341,629.50
  4. Step 4: Simplify right side
    155,971.50x = 116,710,715,270.25
  5. Step 5: Solve for x
    x = 116,710,715,270.25/155,971.50
  6. Step 6: Final answer
    x = 748,282.32

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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.