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Finding the Third Proportional to 243,685.13 and 376,590.94

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Solution

The third proportional to 243,685.13 and 376,590.94 is: 581,983.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,685.13 : 376,590.94 = 376,590.94 : x
  2. Step 2: Convert to fraction form
    243,685.13/376,590.94 = 376,590.94/x
  3. Step 3: Cross multiply
    243,685.13x = 376,590.94 × 376,590.94
  4. Step 4: Simplify right side
    243,685.13x = 141,820,734,207.13
  5. Step 5: Solve for x
    x = 141,820,734,207.13/243,685.13
  6. Step 6: Final answer
    x = 581,983.55

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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.