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Finding the Third Proportional to 242,723.25 and 376,864.88

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Solution

The third proportional to 242,723.25 and 376,864.88 is: 585,140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,723.25 : 376,864.88 = 376,864.88 : x
  2. Step 2: Convert to fraction form
    242,723.25/376,864.88 = 376,864.88/x
  3. Step 3: Cross multiply
    242,723.25x = 376,864.88 × 376,864.88
  4. Step 4: Simplify right side
    242,723.25x = 142,027,134,008.77
  5. Step 5: Solve for x
    x = 142,027,134,008.77/242,723.25
  6. Step 6: Final answer
    x = 585,140.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.