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Finding the Third Proportional to 174,364.13 and 369,655.50

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Solution

The third proportional to 174,364.13 and 369,655.50 is: 783,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,364.13 : 369,655.50 = 369,655.50 : x
  2. Step 2: Convert to fraction form
    174,364.13/369,655.50 = 369,655.50/x
  3. Step 3: Cross multiply
    174,364.13x = 369,655.50 × 369,655.50
  4. Step 4: Simplify right side
    174,364.13x = 136,645,188,680.25
  5. Step 5: Solve for x
    x = 136,645,188,680.25/174,364.13
  6. Step 6: Final answer
    x = 783,677.20

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.