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Finding the Third Proportional to 177,386 and 265,380

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Solution

The third proportional to 177,386 and 265,380 is: 397,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,386 : 265,380 = 265,380 : x
  2. Step 2: Convert to fraction form
    177,386/265,380 = 265,380/x
  3. Step 3: Cross multiply
    177,386x = 265,380 × 265,380
  4. Step 4: Simplify right side
    177,386x = 70,426,544,400
  5. Step 5: Solve for x
    x = 70,426,544,400/177,386
  6. Step 6: Final answer
    x = 397,024.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.