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Finding the Third Proportional to 144,417 and 327,985.50

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Solution

The third proportional to 144,417 and 327,985.50 is: 744,887.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,417 : 327,985.50 = 327,985.50 : x
  2. Step 2: Convert to fraction form
    144,417/327,985.50 = 327,985.50/x
  3. Step 3: Cross multiply
    144,417x = 327,985.50 × 327,985.50
  4. Step 4: Simplify right side
    144,417x = 107,574,488,210.25
  5. Step 5: Solve for x
    x = 107,574,488,210.25/144,417
  6. Step 6: Final answer
    x = 744,887.99

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These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.