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Finding the Third Proportional to 113,968.13 and 243,316.13

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Solution

The third proportional to 113,968.13 and 243,316.13 is: 519,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,968.13 : 243,316.13 = 243,316.13 : x
  2. Step 2: Convert to fraction form
    113,968.13/243,316.13 = 243,316.13/x
  3. Step 3: Cross multiply
    113,968.13x = 243,316.13 × 243,316.13
  4. Step 4: Simplify right side
    113,968.13x = 59,202,736,685.02
  5. Step 5: Solve for x
    x = 59,202,736,685.02/113,968.13
  6. Step 6: Final answer
    x = 519,467.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.