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Finding the Third Proportional to 106,852 and 228,528

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Solution

The third proportional to 106,852 and 228,528 is: 488,760.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,852 : 228,528 = 228,528 : x
  2. Step 2: Convert to fraction form
    106,852/228,528 = 228,528/x
  3. Step 3: Cross multiply
    106,852x = 228,528 × 228,528
  4. Step 4: Simplify right side
    106,852x = 52,225,046,784
  5. Step 5: Solve for x
    x = 52,225,046,784/106,852
  6. Step 6: Final answer
    x = 488,760.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.