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Finding the Third Proportional to 273,303 and 382,171.50

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Solution

The third proportional to 273,303 and 382,171.50 is: 534,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,303 : 382,171.50 = 382,171.50 : x
  2. Step 2: Convert to fraction form
    273,303/382,171.50 = 382,171.50/x
  3. Step 3: Cross multiply
    273,303x = 382,171.50 × 382,171.50
  4. Step 4: Simplify right side
    273,303x = 146,055,055,412.25
  5. Step 5: Solve for x
    x = 146,055,055,412.25/273,303
  6. Step 6: Final answer
    x = 534,407.07

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.