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Finding the Third Proportional to 145,612.13 and 340,089.75

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Solution

The third proportional to 145,612.13 and 340,089.75 is: 794,309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,612.13 : 340,089.75 = 340,089.75 : x
  2. Step 2: Convert to fraction form
    145,612.13/340,089.75 = 340,089.75/x
  3. Step 3: Cross multiply
    145,612.13x = 340,089.75 × 340,089.75
  4. Step 4: Simplify right side
    145,612.13x = 115,661,038,055.06
  5. Step 5: Solve for x
    x = 115,661,038,055.06/145,612.13
  6. Step 6: Final answer
    x = 794,309.11

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.