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Finding the Third Proportional to 155,925 and 237,168

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Solution

The third proportional to 155,925 and 237,168 is: 360,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,925 : 237,168 = 237,168 : x
  2. Step 2: Convert to fraction form
    155,925/237,168 = 237,168/x
  3. Step 3: Cross multiply
    155,925x = 237,168 × 237,168
  4. Step 4: Simplify right side
    155,925x = 56,248,660,224
  5. Step 5: Solve for x
    x = 56,248,660,224/155,925
  6. Step 6: Final answer
    x = 360,741.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.