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Finding the Third Proportional to 258,341.63 and 377,305.88

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Solution

The third proportional to 258,341.63 and 377,305.88 is: 551,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,341.63 : 377,305.88 = 377,305.88 : x
  2. Step 2: Convert to fraction form
    258,341.63/377,305.88 = 377,305.88/x
  3. Step 3: Cross multiply
    258,341.63x = 377,305.88 × 377,305.88
  4. Step 4: Simplify right side
    258,341.63x = 142,359,723,309.52
  5. Step 5: Solve for x
    x = 142,359,723,309.52/258,341.63
  6. Step 6: Final answer
    x = 551,052.21

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.