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Finding the Third Proportional to 242,590.88 and 347,372.06

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Solution

The third proportional to 242,590.88 and 347,372.06 is: 497,410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,590.88 : 347,372.06 = 347,372.06 : x
  2. Step 2: Convert to fraction form
    242,590.88/347,372.06 = 347,372.06/x
  3. Step 3: Cross multiply
    242,590.88x = 347,372.06 × 347,372.06
  4. Step 4: Simplify right side
    242,590.88x = 120,667,349,805.50
  5. Step 5: Solve for x
    x = 120,667,349,805.50/242,590.88
  6. Step 6: Final answer
    x = 497,410.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.