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Finding the Third Proportional to 155,523 and 341,299.50

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Solution

The third proportional to 155,523 and 341,299.50 is: 748,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,523 : 341,299.50 = 341,299.50 : x
  2. Step 2: Convert to fraction form
    155,523/341,299.50 = 341,299.50/x
  3. Step 3: Cross multiply
    155,523x = 341,299.50 × 341,299.50
  4. Step 4: Simplify right side
    155,523x = 116,485,348,700.25
  5. Step 5: Solve for x
    x = 116,485,348,700.25/155,523
  6. Step 6: Final answer
    x = 748,991.14

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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.