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Finding the Third Proportional to 124,534 and 270,236

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Solution

The third proportional to 124,534 and 270,236 is: 586,406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,534 : 270,236 = 270,236 : x
  2. Step 2: Convert to fraction form
    124,534/270,236 = 270,236/x
  3. Step 3: Cross multiply
    124,534x = 270,236 × 270,236
  4. Step 4: Simplify right side
    124,534x = 73,027,495,696
  5. Step 5: Solve for x
    x = 73,027,495,696/124,534
  6. Step 6: Final answer
    x = 586,406.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.