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Finding the Third Proportional to 109,098 and 235,407

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Solution

The third proportional to 109,098 and 235,407 is: 507,951.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,098 : 235,407 = 235,407 : x
  2. Step 2: Convert to fraction form
    109,098/235,407 = 235,407/x
  3. Step 3: Cross multiply
    109,098x = 235,407 × 235,407
  4. Step 4: Simplify right side
    109,098x = 55,416,455,649
  5. Step 5: Solve for x
    x = 55,416,455,649/109,098
  6. Step 6: Final answer
    x = 507,951.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.