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Finding the Third Proportional to 147,818 and 324,253

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Solution

The third proportional to 147,818 and 324,253 is: 711,280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,818 : 324,253 = 324,253 : x
  2. Step 2: Convert to fraction form
    147,818/324,253 = 324,253/x
  3. Step 3: Cross multiply
    147,818x = 324,253 × 324,253
  4. Step 4: Simplify right side
    147,818x = 105,140,008,009
  5. Step 5: Solve for x
    x = 105,140,008,009/147,818
  6. Step 6: Final answer
    x = 711,280.14

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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.