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Finding the Third Proportional to 148,322 and 229,683

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Solution

The third proportional to 148,322 and 229,683 is: 355,674.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,322 : 229,683 = 229,683 : x
  2. Step 2: Convert to fraction form
    148,322/229,683 = 229,683/x
  3. Step 3: Cross multiply
    148,322x = 229,683 × 229,683
  4. Step 4: Simplify right side
    148,322x = 52,754,280,489
  5. Step 5: Solve for x
    x = 52,754,280,489/148,322
  6. Step 6: Final answer
    x = 355,674.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.