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Finding the Third Proportional to 185,534 and 268,011

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Solution

The third proportional to 185,534 and 268,011 is: 387,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,534 : 268,011 = 268,011 : x
  2. Step 2: Convert to fraction form
    185,534/268,011 = 268,011/x
  3. Step 3: Cross multiply
    185,534x = 268,011 × 268,011
  4. Step 4: Simplify right side
    185,534x = 71,829,896,121
  5. Step 5: Solve for x
    x = 71,829,896,121/185,534
  6. Step 6: Final answer
    x = 387,152.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.