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Finding the Third Proportional to 147,382 and 318,296.50

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Solution

The third proportional to 147,382 and 318,296.50 is: 687,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,382 : 318,296.50 = 318,296.50 : x
  2. Step 2: Convert to fraction form
    147,382/318,296.50 = 318,296.50/x
  3. Step 3: Cross multiply
    147,382x = 318,296.50 × 318,296.50
  4. Step 4: Simplify right side
    147,382x = 101,312,661,912.25
  5. Step 5: Solve for x
    x = 101,312,661,912.25/147,382
  6. Step 6: Final answer
    x = 687,415.44

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Why These Related Problems?

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