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Finding the Third Proportional to 145,546.88 and 318,157.88

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Solution

The third proportional to 145,546.88 and 318,157.88 is: 695,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,546.88 : 318,157.88 = 318,157.88 : x
  2. Step 2: Convert to fraction form
    145,546.88/318,157.88 = 318,157.88/x
  3. Step 3: Cross multiply
    145,546.88x = 318,157.88 × 318,157.88
  4. Step 4: Simplify right side
    145,546.88x = 101,224,433,424.52
  5. Step 5: Solve for x
    x = 101,224,433,424.52/145,546.88
  6. Step 6: Final answer
    x = 695,476.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.