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Finding the Third Proportional to 147,708 and 323,725.50

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Solution

The third proportional to 147,708 and 323,725.50 is: 709,495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,708 : 323,725.50 = 323,725.50 : x
  2. Step 2: Convert to fraction form
    147,708/323,725.50 = 323,725.50/x
  3. Step 3: Cross multiply
    147,708x = 323,725.50 × 323,725.50
  4. Step 4: Simplify right side
    147,708x = 104,798,199,350.25
  5. Step 5: Solve for x
    x = 104,798,199,350.25/147,708
  6. Step 6: Final answer
    x = 709,495.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.