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Finding the Third Proportional to 142,792.88 and 317,499.75

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Solution

The third proportional to 142,792.88 and 317,499.75 is: 705,960.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,792.88 : 317,499.75 = 317,499.75 : x
  2. Step 2: Convert to fraction form
    142,792.88/317,499.75 = 317,499.75/x
  3. Step 3: Cross multiply
    142,792.88x = 317,499.75 × 317,499.75
  4. Step 4: Simplify right side
    142,792.88x = 100,806,091,250.06
  5. Step 5: Solve for x
    x = 100,806,091,250.06/142,792.88
  6. Step 6: Final answer
    x = 705,960.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.