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Finding the Third Proportional to 155,475 and 237,719

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Solution

The third proportional to 155,475 and 237,719 is: 363,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,475 : 237,719 = 237,719 : x
  2. Step 2: Convert to fraction form
    155,475/237,719 = 237,719/x
  3. Step 3: Cross multiply
    155,475x = 237,719 × 237,719
  4. Step 4: Simplify right side
    155,475x = 56,510,322,961
  5. Step 5: Solve for x
    x = 56,510,322,961/155,475
  6. Step 6: Final answer
    x = 363,468.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.