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Finding the Third Proportional to 151,488 and 237,120

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Solution

The third proportional to 151,488 and 237,120 is: 371,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,488 : 237,120 = 237,120 : x
  2. Step 2: Convert to fraction form
    151,488/237,120 = 237,120/x
  3. Step 3: Cross multiply
    151,488x = 237,120 × 237,120
  4. Step 4: Simplify right side
    151,488x = 56,225,894,400
  5. Step 5: Solve for x
    x = 56,225,894,400/151,488
  6. Step 6: Final answer
    x = 371,157.41

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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.