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Finding the Third Proportional to 157,047.75 and 250,140.38

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Solution

The third proportional to 157,047.75 and 250,140.38 is: 398,415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,047.75 : 250,140.38 = 250,140.38 : x
  2. Step 2: Convert to fraction form
    157,047.75/250,140.38 = 250,140.38/x
  3. Step 3: Cross multiply
    157,047.75x = 250,140.38 × 250,140.38
  4. Step 4: Simplify right side
    157,047.75x = 62,570,207,205.14
  5. Step 5: Solve for x
    x = 62,570,207,205.14/157,047.75
  6. Step 6: Final answer
    x = 398,415.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.