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Finding the Third Proportional to 195,424.59 and 291,985.88

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Solution

The third proportional to 195,424.59 and 291,985.88 is: 436,259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,424.59 : 291,985.88 = 291,985.88 : x
  2. Step 2: Convert to fraction form
    195,424.59/291,985.88 = 291,985.88/x
  3. Step 3: Cross multiply
    195,424.59x = 291,985.88 × 291,985.88
  4. Step 4: Simplify right side
    195,424.59x = 85,255,751,199.52
  5. Step 5: Solve for x
    x = 85,255,751,199.52/195,424.59
  6. Step 6: Final answer
    x = 436,259.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.