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Finding the Third Proportional to 151,411 and 237,539

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Solution

The third proportional to 151,411 and 237,539 is: 372,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,411 : 237,539 = 237,539 : x
  2. Step 2: Convert to fraction form
    151,411/237,539 = 237,539/x
  3. Step 3: Cross multiply
    151,411x = 237,539 × 237,539
  4. Step 4: Simplify right side
    151,411x = 56,424,776,521
  5. Step 5: Solve for x
    x = 56,424,776,521/151,411
  6. Step 6: Final answer
    x = 372,659.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.