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Finding the Third Proportional to 187,340.63 and 285,703.88

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Solution

The third proportional to 187,340.63 and 285,703.88 is: 435,712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,340.63 : 285,703.88 = 285,703.88 : x
  2. Step 2: Convert to fraction form
    187,340.63/285,703.88 = 285,703.88/x
  3. Step 3: Cross multiply
    187,340.63x = 285,703.88 × 285,703.88
  4. Step 4: Simplify right side
    187,340.63x = 81,626,704,190.02
  5. Step 5: Solve for x
    x = 81,626,704,190.02/187,340.63
  6. Step 6: Final answer
    x = 435,712.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.