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Finding the Third Proportional to 147,926.25 and 323,838

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Solution

The third proportional to 147,926.25 and 323,838 is: 708,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,926.25 : 323,838 = 323,838 : x
  2. Step 2: Convert to fraction form
    147,926.25/323,838 = 323,838/x
  3. Step 3: Cross multiply
    147,926.25x = 323,838 × 323,838
  4. Step 4: Simplify right side
    147,926.25x = 104,871,050,244
  5. Step 5: Solve for x
    x = 104,871,050,244/147,926.25
  6. Step 6: Final answer
    x = 708,941.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.