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Finding the Third Proportional to 250,025 and 539,142

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Solution

The third proportional to 250,025 and 539,142 is: 1,162,580.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,025 : 539,142 = 539,142 : x
  2. Step 2: Convert to fraction form
    250,025/539,142 = 539,142/x
  3. Step 3: Cross multiply
    250,025x = 539,142 × 539,142
  4. Step 4: Simplify right side
    250,025x = 290,674,096,164
  5. Step 5: Solve for x
    x = 290,674,096,164/250,025
  6. Step 6: Final answer
    x = 1,162,580.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.