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Finding the Third Proportional to 188,275.50 and 407,140.50

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Solution

The third proportional to 188,275.50 and 407,140.50 is: 880,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,275.50 : 407,140.50 = 407,140.50 : x
  2. Step 2: Convert to fraction form
    188,275.50/407,140.50 = 407,140.50/x
  3. Step 3: Cross multiply
    188,275.50x = 407,140.50 × 407,140.50
  4. Step 4: Simplify right side
    188,275.50x = 165,763,386,740.25
  5. Step 5: Solve for x
    x = 165,763,386,740.25/188,275.50
  6. Step 6: Final answer
    x = 880,429.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.