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Finding the Third Proportional to 155,762 and 341,008

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Solution

The third proportional to 155,762 and 341,008 is: 746,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,762 : 341,008 = 341,008 : x
  2. Step 2: Convert to fraction form
    155,762/341,008 = 341,008/x
  3. Step 3: Cross multiply
    155,762x = 341,008 × 341,008
  4. Step 4: Simplify right side
    155,762x = 116,286,456,064
  5. Step 5: Solve for x
    x = 116,286,456,064/155,762
  6. Step 6: Final answer
    x = 746,564.99

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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.