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Finding the Third Proportional to 124,225.50 and 269,457

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Solution

The third proportional to 124,225.50 and 269,457 is: 584,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,225.50 : 269,457 = 269,457 : x
  2. Step 2: Convert to fraction form
    124,225.50/269,457 = 269,457/x
  3. Step 3: Cross multiply
    124,225.50x = 269,457 × 269,457
  4. Step 4: Simplify right side
    124,225.50x = 72,607,074,849
  5. Step 5: Solve for x
    x = 72,607,074,849/124,225.50
  6. Step 6: Final answer
    x = 584,478.02

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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.