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Finding the Third Proportional to 135,708 and 286,726.50

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Solution

The third proportional to 135,708 and 286,726.50 is: 605,801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,708 : 286,726.50 = 286,726.50 : x
  2. Step 2: Convert to fraction form
    135,708/286,726.50 = 286,726.50/x
  3. Step 3: Cross multiply
    135,708x = 286,726.50 × 286,726.50
  4. Step 4: Simplify right side
    135,708x = 82,212,085,802.25
  5. Step 5: Solve for x
    x = 82,212,085,802.25/135,708
  6. Step 6: Final answer
    x = 605,801.32

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.