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Finding the Third Proportional to 124,210.50 and 269,427

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Solution

The third proportional to 124,210.50 and 269,427 is: 584,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,210.50 : 269,427 = 269,427 : x
  2. Step 2: Convert to fraction form
    124,210.50/269,427 = 269,427/x
  3. Step 3: Cross multiply
    124,210.50x = 269,427 × 269,427
  4. Step 4: Simplify right side
    124,210.50x = 72,590,908,329
  5. Step 5: Solve for x
    x = 72,590,908,329/124,210.50
  6. Step 6: Final answer
    x = 584,418.45

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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.