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Finding the Third Proportional to 176,976 and 265,482

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Solution

The third proportional to 176,976 and 265,482 is: 398,250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,976 : 265,482 = 265,482 : x
  2. Step 2: Convert to fraction form
    176,976/265,482 = 265,482/x
  3. Step 3: Cross multiply
    176,976x = 265,482 × 265,482
  4. Step 4: Simplify right side
    176,976x = 70,480,692,324
  5. Step 5: Solve for x
    x = 70,480,692,324/176,976
  6. Step 6: Final answer
    x = 398,250.00

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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.