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Finding the Third Proportional to 147,903.47 and 323,793.28

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Solution

The third proportional to 147,903.47 and 323,793.28 is: 708,854.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,903.47 : 323,793.28 = 323,793.28 : x
  2. Step 2: Convert to fraction form
    147,903.47/323,793.28 = 323,793.28/x
  3. Step 3: Cross multiply
    147,903.47x = 323,793.28 × 323,793.28
  4. Step 4: Simplify right side
    147,903.47x = 104,842,088,982.64
  5. Step 5: Solve for x
    x = 104,842,088,982.64/147,903.47
  6. Step 6: Final answer
    x = 708,854.84

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