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Finding the Third Proportional to 170,363.25 and 358,357.50

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Solution

The third proportional to 170,363.25 and 358,357.50 is: 753,801.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,363.25 : 358,357.50 = 358,357.50 : x
  2. Step 2: Convert to fraction form
    170,363.25/358,357.50 = 358,357.50/x
  3. Step 3: Cross multiply
    170,363.25x = 358,357.50 × 358,357.50
  4. Step 4: Simplify right side
    170,363.25x = 128,420,097,806.25
  5. Step 5: Solve for x
    x = 128,420,097,806.25/170,363.25
  6. Step 6: Final answer
    x = 753,801.64

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.