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Finding the Third Proportional to 174,363 and 369,650.25

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Solution

The third proportional to 174,363 and 369,650.25 is: 783,659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,363 : 369,650.25 = 369,650.25 : x
  2. Step 2: Convert to fraction form
    174,363/369,650.25 = 369,650.25/x
  3. Step 3: Cross multiply
    174,363x = 369,650.25 × 369,650.25
  4. Step 4: Simplify right side
    174,363x = 136,641,307,325.06
  5. Step 5: Solve for x
    x = 136,641,307,325.06/174,363
  6. Step 6: Final answer
    x = 783,659.99

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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.